Solve the equation for x - x*2-10x+24=0

The answer is x=-12 an x=2

x=-12 x = 2

Step-by-step explanation:

-x^2-10x+24=0

Divide by - 1

x^2 + 10x - 24 = 0

Factor

What 2 terms multiply to - 24 and add to 10

12 * - 2 = - 24

12 - 2 = 10

(x+12) (x-2) = 0

Using the zero product property

x+12 = 0 x-2 = 0

x=-12 x = 2