Answer:
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
Answer:
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
