Question

Using zero product property, find the values of x. (Hint: You must set factored parts equal to 0). (x+10)(2x-4)=0

I know there are two answers but I need an explanation please!! I want to understand this

Answer 1

x = - 10, x = 2

Explanation:

Given

(x + 10)(2x - 4) = 0

Equate each factor to zero and solve for x ( zero product property )

x + 10 = 0 ⇒ x = - 10

2x - 4 = 0 ⇒ 2x = 4 ⇒ x = 2