Answer
$x=-6$ and $x=-1$
Work Step by Step
We are given the equation $x^{2}+7x=-6$. Add 6 to both sides to get all terms on one side.
$x^{2}+7x+6=0$
We know that 1 and 6 are factors of 6 and the sum of 1 and 6 is 7, which is the coefficient on the middle term.
Therefore, the equation can be factored into the form $(x+1)(x+6)$.
Set both terms equal to 0
$x+1=0$
Subtract 1 from both sides.
$x=-1$
$x+6=0$
Subtract 6 from both sides.
$x=-6$
