# Solving a quadratic equation when not equal to zero by factoring

Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation.

The quadratic formula is given by x = (-b +/- sqrt(b^2 – 4ac)) / 2a, where a is the coefficient of the quadratic term (x^2), b is the coefficient of the linear term (x) and c is the constant term. Thus, to solve a quadratic equation using the quadratic formula, first identify the ‘a’, ‘b’ and the ‘c’ of the quadratic equation and plug them into the quadratic formula and evaluate accordingly.

Note that the quadratic equation must be set equal to 0 before a, b, and c can be extracted. If the quadratic equation is not set equal to 0, then all the terms of the equation is taken to one side of the equality sign so that the other side of the equality sign will be 0.