Solve by completing the square with working out

-6x-x^2-8

x = - 3 + / - sqrt (17)

Step-by-step explanation:

-6x - (x^2) - 8 = 0

- ((x^2) + 6x + 8) = 0

(x^2) + 6x + 8 = 0

(x + 3) ^2 - 1 = 0

(x + 3) ^2 = 1

x + 3 = + / - sqrt (1)

x + 3 = + / - 1

x = - 3 + / - 1

x = - 4, - 2