# Solving Quadratic Equations in One Variable Using Factoring | Math

January 26, 2015
A quadratic equation is a specific type of equation, different than the linear equations we’ve worked with before. To be more specific, a quadratic equation is any equation that can be written in the form: ax2 + bx + c = 0, where a, b, and c are coefficients and a ≠ 0. (If a = 0, the equation is a linear equation.) Solving quadratic equations is a high emphasis topic on the TASC Test Assessing Secondary Completion™ Mathematics subtest. Though solving a problem like this may seem complex, specific tools can help you work through any quadratic equation as you prepare for the Math subtest. In fact, there are four options for solving quadratic equations in one variable. Depending on how much information – and what information – is provided within the equation, you can take any of these approaches. Here, we’ve outlined how to factor quadratic equations. We chose to focus on factoring because it’s typically understood to be the easiest way to solve a quadratic equation. It’s also one of the most common methods.

## Factoring

To factor, you must follow these steps:
1. Write your Equation in the form ax2 + bx + c = 0. You can do this by rearranging the formula, as we discussed in our earlier post. You’ll remember this can mean a number of things. You might have to use the distributive property, combine like terms, move terms to different sides of the equation, or apply the order of operations.
3. Let each factor equal 0, and solve.