How to solve quadratic equations? If you see this question in your math assignment, you shouldn't panic because this academic task is easy to complete, but you only need to have the right knowledge and understanding. First, learn more about the definition of quadratic equations to realize that they include only 1 unknown or univariate. They contain only the powers of x that come as non-negative integers, and this means that such equations are polynomial. Interested in solving quadratic equations by factoring? Keep in mind that it's not the only way to complete this task because other popular methods include solutions by using a quadratic formula, completing a square, and graphing. When it comes to quadratic equations with complex or real coefficients, they have 2 possible solutions or roots. It's worth mentioning that they may not or may be distinct and real.