Answer
$x=-7,1$
Work Step by Step
Given: $x^2+6x=7$ or, $x^2+6x-7=0$
Need to use factorization to solve the quadratic equation.
This can be factorized as follows:
$x^2-x+7x-7=0$
or, $(x+7)(x-1)=0$
Now $x+7=0$ and $x-1=0$
Roots are $x=-7,1$