# How to Solve a Quadratic Equation by Factoring

A quadratic equation is any *second degree* polynomial equation — that’s when the highest power of *x*, or whatever other variable is used, is 2. You can solve quadratic equations by factoring.

Bring all terms to one side of the equation, leaving a zero on the other side.

Factor.

(2

*x*+ 3)(*x*– 4) = 0Set each factor equal to zero (using the

*zero product property*).The

2

*x*+ 3 = 02

*x*= –3or

*x*– 4 = 0*x*= 4So, this equation has two solutions: