2xsquared - 72 = 0

Solve the equation?

x = - 6 or x = 6

Step-by-step explanation:

2x^2 - 72 = 0

Divide both sides by 2.

x^2 - 36 = 0

Factor the left side. It is a difference of two squares. The pattern for that is

a^2 - b^2 = (a + b) (a - b). Now we apply that pattern to x^2 - 36 on the left side.

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

x + 6 = 0 or x - 6 = 0

x = - 6 or x = 6