## Intermediate Algebra (6th Edition)

$x=-6$ and $x=-1$
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. $x=-6$