Whats the solutions for f (x) = - x^2-6x-8

x=-4 x=-2

Step-by-step explanation:

Set this equal to zero to find the solutions

0 = - x^2-6x-8

Divide by - 1

0/-1 = x^2 + 6x+8

0 = x^2 + 6x+8

Factor

What 2 numbers multiply to 8 and add to 6

4*2 = 8

4+2 = 6

0 = (x+4) (x+2)

Using the zero product property

x+4 = 0 x+2 = 0

x=-4 x=-2

x = - 4, - 2

Step-by-step explanation:

-x² - 6x - 8 = 0

x² + 6x + 8 = 0

x² + 4x + 2x + 8 = 0

x (x + 4) + 2 (x + 4) = 0

(x + 4) (x + 2) = 0

x = - 4, - 2