Solve for x in the equation x squared + 20 x + 100 = 36

x = - 16, x = - 4

Step-by-step explanation:

Given

x² + 20x + 100 = 36 (subtract 36 from both sides)

x² + 20x + 64 = 0

Consider the factors of the constant term ( + 64) which sum to give the coefficient of the x - term ( + 20)

The factors are 16 and 4, since

16 * 4 = 64 and 16 + 4 = 20, thus

(x + 16) (x + 4) = 0

Equate each factor to zero and solve for x

x + 16 = 0 ⇒ x = - 16

x + 4 = 0 ⇒ x = - 4

it's A

x = - 16 or x = - 4