Solving Quadratics by Factoring
Solving a quadratic equation by factoring depends on the zero product property. The zero product property states that if ab = 0, then either a = 0 or b = 0.
Example 1
Solve 2 x ^{2} = – 9 x – 4 by using factoring.

First, get all terms on one side of the equation.

Factor the quadratic.
(2 x + 1)( x + 4) = 0

Apply the zero product property.