Solving Complex Search Results

How To: Solve word problems in trigonometry

Need help figuring out how to unpack and solve word problems in trig? Learn how with this free video trigonometry lesson. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test). With this installment from Internet pedagogical superstar Salman Khan's series of free...

How To: Solve multi-step and compound inequalities

Multi-Step inequalities are inequalities which take more than one step in solving them. You need to follow a step by step approach in solving these kind of problems. Through there is no general method to solve them you can follow a set of guidelines. First thing you have to do is make sure that only x terms remain on the left hand side of the equation. If there are any other numerical terms add the negative of that term to both the sides of the equation to eliminate it on the left hand side. ...

How To: Solve equations with algebraic variables on both sides

In basic algebraic equations all the variables are on left side of the equation. But as the complexity of the problems increases you will find that the equations will contain variables on both sides of the equation. To solve these kinds of problems first simplify the equations on each side of the equation. You can use the distributive law to do this. Next try to cancel the variable on the right side of equation by adding the negative value of that variable to both the sides of the equation. N...

How To: Solve a linear system with no solution

A method for solving a linear system with no solution is described. The method is described in 4 steps. The first step in the method is designed to solve a linear system that is described consist of “solving by graphing”. Details for “solving by graphing” first consist of finding points to graph using two different equations. The second step in the method consist of placing the points from both equations on the same graph in order to find out if bo...

How To: Solve an equation with a radical under a radical

In this video the instructor shows how to solve an equation with a radical under a radical. If you have an equation with a square root on both sides, with one of the sides having another inner square root under the original square root, it can be a little tricky to solve it.

How To: Solve quadratic equations by square root method

In this video the instructor shows how to solve quadratic equation by the square root method. The square root property of equations states that if k is positive and a*a = k, then a is equal to square root of k or -1 times the square root of k. So to solve a quadratic equation by square root property first get the equation in the form of a*a = k. Now apply the square root property explained in the previous step to get the result. The instructor now demonstrates these concepts by solving some e...

How To: Solve linear absolute value equations & inequalities

In this video the instructor shows how to solve linear absolute value equations and inequalities. You need to remember basic rules to solve these kind of problems. When the absolute value is equal to a number then the real value of it is equal to either the positive value of that number or negative value of that number. In case the absolute value is less than or equal to a number, then the real value lies in between the positive and negative values of that number. In the third case, if the ab...

How To: Compare methods of solving quadratic equations

In this video the instructor shows the different methods of solving quadratic equations. There are many methods to solve quadratic equations each with its pros and cons, each method suitable for a particular situation. The first method to solve quadratic equation is factoring. The advantage of using this method is that it is quick and easy. But the problem is not all equations can be factored very easily. This method requires a lot of practice and intuition. Use this method when the discrimin...

How To: Solve percent equations

In this tutorial the instructor shows how to solve percent equations. The general form of a percent equations is that a is b% of c. As there can be three kinds of variables a, b, c, the questions involving percent equations can be of three types having one of the three variables unknown. These kind of percent statements can be solved easily by setting up an equation. So, to convert percent statement into a equation replace the unknown term with n, the 'is' term with equals sign and the '%' si...

How To: Simplify a complex fraction w/ binomial denominators

To simplify a complex fraction, turn it into one fraction on the top divided into a fraction on the bottom. Once this is complete, you will turn the division into the two into a multiple by the reciprocal, factor, and then cancel. To make a division, find the lowest common denominator of both the top and the bottom. Once you get this division equation, look carefully at the equations. If something can be easily canceled, go ahead and cancel it out at this time. If you cannot cancel anything a...

How To: Solve systems by substitution

You can solve systems by using the substitution method. Here are two examples. One says y=3x+2 and the second says 7x-4y=7. The math teacher explains that if y is the same thing as 3x+2, then 3x+2 can be substituted for y in 7x-4y=7. Once it is substituted, your equation will then read 7x-4(3x+2)=7. The next step is to solve for x. Once you have worked out this equation, you will see that x=-3. Finally, your last step is to solve for y. To solve for y, simply substitute x with -3. The equatio...

How To: Solve quadratic equations by factoring in math

In this video the instructor shows how to solve quadratic equations by factoring. You can solve a quadratic equation by factoring them. To do this first write the equation in the standard from which is a*x*x + b*x + c = 0. Now factor the equation into two smaller equations of single degree. Now you can apply the zero-factor property to solve the equation in this from. The zero-factor property states that for a real values a and b, if a multiplied by b is equal to zero then value of a must be ...

How To: Find the x & y intercepts of rational functions

In this tutorial the instructor shows how to find the x and y intercepts of rational functions. Finding the intercepts of a rational function is similar to finding the intercepts of other normal equations. You can find the x intercept of the equation by setting the value of y to zero and solving the equation. Similarly you can solve the y intercept by setting the value of x to zero and solving the equation. Now while solving this rational function for intercepts if you face a situation where ...

How To: Solve a system by the elimination method

In this video the instructor shows how to solve a system of equations by elimination method. First you need to know how many possible number of solutions you can get by solving a system of equations. There are three possibilities. In the first case there are two lines with different slopes, so they intersect at a point which is the solution to that system. In second case there can be two lines with same slope but are parallel to each other. In this case the system has no solution. In the thir...

How To: Solve single-step equation by multiplication

This video will show you the simple mathematical concept of solving a single-step equation using multiplication. This is very useful for equations in which you need to solve for a variable and the variable is a part of a fraction. The example provided in the video shows a very fast and simple way to solve these types of problems. By multiplying your fraction by the denominator of the fraction, you will cancel out the fraction and multiply the other side by the same number. By following these ...

How To: Solve a linear equation

This video explains how to solve a single variable linear equation. Keep in mind that your equation should be in the form ax + b = c. The goal is to solve for x. Isolate the variable. Begin by subtracting b from both sides of the equation. Look at your new equation. It should now be in the form ax = c - b. Solve for x by dividing both sides by a. Your expression is now in the form x = (c - b)/a. You have solved the expression for x.

How To: Solve inverse proportions

This video tutorial shows how to solve inverse proportions. The tutor says that in inverse proportion it works differently than in the direct proportion. He says that in inverse proportion more means less or less means more. He uses the example of driving a car to illustrate his idea. He says that if you drive a car with more speed, you take less time to reach a place i.e. here more speed means less time. He goes on and solves a problem involving inverse proportion explaining how to solve the...

How To: Easily solve the Rubix Magic

Have you ever wondered how to solve the Rubix Magic? Well, this video is designed to do just that. This is a very short video; the demonstrator shows us how to play this game, loosely based on the Rubik's Cube and how it is solved. Watch this video to find out more about the Rubix Magic!

How To: Understand the Rubik's Cube

This video is about solving the Rubik's Cube in 5 easy steps. It gives an overview of the Rubik's Cube which may even be considered as surplus information for some people. It also describes common mistakes; for instance, trying to solve one face at a time. It goes on to give a recommendation that it is better to solve three layers at a time.

How To: Solve a Rubik's Cube with the Compound OLL method

Find out a new way to solve the Rubik's Cube made famous by Erno Rubik, master puzzle maker. Try to get the OLL (Orientation of the Last Layer) using a new method that lets you look at the cube and figure out a two algorithm move solution to orienting them correctly. Just watch this video tutorial to see how to solve a Rubik's Cube with the Compound OLL method.

How To: Solve the center of the V-Cube 7 puzzle

The V-Cube 7 is the grandaddy of all Rubik's Cube style puzzles, and it's on of the hardest puzzles to solve, with its 7x7 sides. If you're having a hard time getting started with the puzzle beast, specifically the 5x5 center, then this video tutorial should help you out. See how to solve the center of the V-Cube 7 puzzle. If you can solve a regular Rubik's Cube, it could help you out, because a lot of the principles are the same.

How To: Solve a wooden star puzzle brainteaser

Watch this video tutorial from Mike the How-To Guy to learn how to solve a wooden star puzzle brainteaser. Solving one of these wood star puzzles is pretty easy and takes but a second, so watch and learn. It's no Rubik's Cube, but it's worth check out if you're a puzzle lover.

How To: Solve the 4x4 Rubik's Cube Revenge the easy way

Erno Rubik had no idea his three-dimensional, mechanical puzzle cube would be so popular when he designed it, but he did know it would perplex problem-solvers all over the world. In order to solve the Rubik's Cube, you need to know a little bit about math, specifically algorithms. In this video tutorial, learn how to solve the 4x4 Rubik's Cube Revenge the easy way. If you can solve the Classic Rubiks Cube, this 4x4 Rubik's Cube Revenge should make things a little more difficult.

How To: Solve the Rubik's Cube fast with fingertricks

If you want to be fast on the Rubik's Cube, you'll of course need to know a few tricks... a few fingertricks, that is. This video tutorial will show you exactly how to solve the Rubik's Cube fast with fingertricks. Remember, your solving times won't decrease unless you practice, practice, practice. Just because you have fingers and a Rubiks Cube, doesn't mean you know how to do the tricks.

How To: Origami a complex star

This instructional origami video will show you how to fold a complex origami star. You will need twenty pieces of scrap paper complete this origami project. When you are finished folding this difficult origami star, you can hang it above your bed to remind you of the cosmos.

How To: Solve the F2L of the Rubik's Cube

Need a little help solving the first part of the Rubik's Cube puzzle? The F2L (First Two Layers) could be tricky, and could get you back to square one if you don't know what you are doing, but don't worry, you'll be able to solve that Cube in no time.

How To: Solve the Rubik's Cube cross faster than anyone

Want to be fast at solving the cross of the Rubik's Cube, like two or three seconds fast? Well, this video tutorial will show you how to solve the Rubik's Cube cross faster than anyone. These insights into how to make the cross will no doubt make you a great speedcuber. Just pay attention to the orientation and the rest of these Rubiks Cube cross tips and tricks.