Answer:
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....
