Answer
$x=-5$
Work Step by Step
The given equation is
$x^2+10x=-25$
Add $25$ to each side.
$x^2+10x+25=-25+25$
Simplify.
$x^2+10x+25=0$
Graph the related function.
$f(x)=x^2+10x+25$
The $x-$intercept is $-5$.
Hence, the solution is $x=-5$.