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

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1 Answer

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