Factoring Quadratics

Since the equation is already written in factored form, we will use the Zero Product Property to solve it.

(4 x + 3) (x + 2) = 0

ZeroProdPropUse the Zero Product Property

4 x + 3 = 0 x + 2 = 0 (I) (II)

(I):

LHS - 3 = RHS - 3

4 x = - 3 x + 2 = 0

(I):

LHS / 4 = RHS / 4

x = \frac{- 3}{4} x + 2 = 0

(I):

Put minus sign in front of fraction

x = - \frac{3}{4} x + 2 = 0

(II):

LHS - 2 = RHS - 2

x = - \frac{3}{4} x = - 2

We found that the solutions to the equation are

x = - \frac{3}{4}

and

x = - 2 .

Factoring Quadratics 1.19 - Solution