Question

Find the two solutions to the equation below.
(x-7)(x - 5) = 0

Answer 1

x = 5, x = 7

Explanation:

(x - 7)(x - 5) = 0 ← in standard factored form

equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x - 5 = 0 ⇒ x = 5

Answer 2

Answer: x = 5, 7

Explanation:

This equation is already factored for us, so we can split it into two separate equations set equal to 0 and solve for x.

Given:

(x - 7)(x - 5) = 0

Equation #1:

x - 7 = 0

x = 7

Equation #2:

x - 5 = 0

x = 5

Solution:

x = 5, 7