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A quadratic equation is a polynomial equation in a single variable where the highest exponent of the variable is

2.^{[1]} There are three main ways to solve quadratic equations: 1) to factor the quadratic equation if you can do so, 2) to use the quadratic formula, or 3) to complete the square. If you want to know how to master these three methods, just follow these steps.

## FACTORING THE EQUATION

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**Combine all of the like terms and move them to one side of the equation.** The first step to factoring an equation is to move all of the terms to one side of the equation, keeping the

term positive. To combine the terms, add or subtract all of the

${displaystyle x^{2}}$terms, the

${displaystyle x}$terms, and the constants (integer terms), moving them to one side of the equation so that nothing remains on the other side. Once the other side has no remaining terms, you can just write “0” on that side of the equal sign. Here’s how you do it:

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