Question

Solve the equation using zero-product property

Answer 1

X=2 or -7(answer choice A)

Answer 2

A) 2, -7

This is because you can view each (x-2) and (x+7) as a number. Thinking like this you have two numbers multiplied together to give you 0. The only way to multiply two numbers and get 0 is if either one or both of the numbers are 0. (As anything times 0 is 0.) So:

(x - 2) could be 0   or   (x + 7) could be 0

Mathematically:

x - 2 = 0           and            x+ 7 =0
   +2    +2                               -7   -7
x = 2                                  x = -7