What are the solutions of x2 + 6x-6 = 10?

X=-11 or x = 1

X=-11 or X=-1

X=-8 or X=-2

X=-8 or X = 2

the answer is X=-8 or X = 2

Step-by-step explanation:

subtract 10 from both sides in order to eliminate 10.

x^2 + 6x - 16

find two factors of - 16 that sum up to 6.

-2 and 8 are two factors of - 16 that sum up to 6.

(x-2) (x+8)

x-2 = 0, x = 2

x+8 = 0, x = - 8

x = - 8 or x = 2

Step-by-step explanation:

Given

x² + 6x - 6 = 10 (subtract 10 from both sides)

x² + 6x - 16 = 0

Consider the factors of the constant term ( - 16) which sum to give the coefficient of the x - term ( + 6)

The factors are + 8 and - 2, since

8 * - 2 = - 16 and 8 - 2 = + 6, thus

(x + 8) (x - 2) = 0

Equate each factor to zero and solve for x

x + 8 = 0 ⇒ x = - 8

x - 2 = 0 ⇒ x = 2

Solutions are x = - 8 or x = 2 ← the last option