Which is a solution to (x-2) (x+5) = 18?

A. x = - 10

B. x = - 7

C. x = - 4

D. x = - 2

x = - 7

Step-by-step explanation:

(x-2) (x+5) = 18

We can substitute the possible solutions in and see if they are true

x = - 10

(-10-2) (-10+5) = 18

-12 * - 5 = 18

60 = 18

False

x = - 7

(-7-2) (-7+5) = 18

-9 * -2 = 18

18 = 18 True

x = - 4

(-4-2) (-4+5) = 18

-6 * 1 = 18

-6 = 18

False

x=-2

(-2-2) (-2+5) = 18

-4 * 3 = 18

-12 = 18

False

B

Step-by-step explanation:

Since you are given options, simply plug in numbers.

A won't work because (-10+5) = - 5 and 18 clearly is not divisible by 5.

B works:

(-7-2) (-7+5) = - 9 (-2) = 18