What is a solution to (x + 6)(x + 2) = 60?
x = - 6, x = - 4, x = 4, x = 12

Solution:

Given: Equation is (x + 6)(x + 2) = 60

On solving we get,

⇒ x² + 2x + 6x + 12 = 60

⇒ x² + 8x + 12 = 60

t⇒ x² + 8x - 48 = 0

This is quadratic in nature. Let us split the terms and factorize the equation.

⇒ x² + 12x - 4x - 48 = 0

⇒ x(x + 12) - 4(x + 12) = 0

⇒ (x - 4)(x + 12) = 0

⇒ x = 4, -12

What is a solution to (x + 6)(x + 2) = 60?

Summary:

The solution to the equation (x + 6)(x + 2) = 60 is x = 4, -12.