Solutions to equation x^2 + x - 30 = 12 using zero product property

Our solutions are x = - 7, x=6

Step-by-step explanation:

x²+x-30=12

First we calculate the constants:

x²+x-30-12=0

x²+x-42=0

Now split the middle term:

x²+7x-6x-42=0

x (x+7) - 6 (x+7) = 0

(x+7) (x-6) = 0

As we know that:

a. b=0

⇒either a=0 or b=0

(x+7) = 0, (x-6) = 0

x=0-7, x=0+6

x = - 7, x=6

So our solutions are x = - 7, x=6 ...