Chapter 9 - Solving Quadratic Equations - 9.2 - Solving Quadratic Equations by Graphing - Monitoring Progress - Page 491: 8

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

The given equation is $x^2+7x=-6$ Add $6$ to each side. $x^2+7x+6=-6+6$ Simplify. $x^2+7x+6=0$ Graph the related function. $f(x)=x^2+7x+6$ The $x-$intercepts are $-6$ and $-1$. Hence, the solutions are $x=-6$ and $x=-1$.