3X^2 = 5X + 2 ?

When using the zero factor property, you need to set each factor to zero and then solve for the variable.

Using your equation

3x

^{2}= 5x + 2You want to subtract (5x+2) from both sides of the equation in order that you have an equation equal to zero

3x

^{2}- (5x+2) = 5x + 2- (5x+2)3x

^{2}- 5x - 2 = 0Factor the polynomial

(3x + 1 )(x - 2) = 0

Now, set each factor equal to zero and solve for x

3x + 1 = 0

3x = -1

3x + 1 = 0

3x = -1

x = -1/3

x-2 = 0

x-2 = 0

x = 2