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 + 2
You 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 = 0
Factor 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