Use the zero product property to find the solutions to the equation x2 + x – 30 = 12.

Question

algebra 

 

Answer 1

X2 +x-42=0

X2 +7x -6x +42 =0

X(x +7) - 6 (x+7) =0

(X-6)(x+7) =00

X= 6 or x=- 7 using least product 

Answer 2

The zero product property is that if the product of two or more factors is equal to zero then at least one of the factors must be equal to zero.

 

Rearrange the equation so it is equal to zero and then factor the quadratic.  Apply the zero product property to each of the factors to get the solutions.