What values of x satisfy x 2 + 2 x = 24?

- 6, - 4

- 6, 4

6, - 4

6, 4

x = - 6 x=4

Step-by-step explanation:

x^ 2 + 2 x = 24

Subtract 24 from each side

x ^2 + 2 x-24 = 24-24

x^2 + 2x - 24 = 0

Factor

What 2 numbers multiply to - 24 and add to 2

6*-4 = - 24

6+-4 = - 2

(x+6) (x-4) = 0

Using the zero product property

x+6 = 0 x - 4=0

x+6-6=0-6 x-4+4=0+4

x = - 6 x=4