Answer:
x = -6 x = -1
Explanation:
We want to solve using the zero product property
x^2+7x=-6
Add 6 to each side
x^2 +7x +6 = 0
Factor
What 2 numbers multiply to 6 and add to 7
( x+6) (x+1) =0
Using the zero product property
x+6 =0 x+1 =0
x+6-6 =0-6 x+1-1 = 0-1
x = -6 x = -1