How do we use the zero factor property to solve equations such as

Question

3X^2 = 5X + 2 ?

Answer 1

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

 

Using your equation

3x² = 5x + 2

 

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

 

3x² - (5x+2) = 5x + 2- (5x+2) 

3x² - 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

x = -1/3

x-2 = 0

x = 2