Question

Factor the equation using zero product property. x2+7x=-6

Answer 1

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