Answer
$x=-10,-1$
Work Step by Step
$x^{2}=-11x-10$
$x^{2}+11x+10=0$
$(x+1)(x+10)=0$
$x=-10,-1$
Get all the terms on one side to make the other side zero. Then factor by trial and error for this trinomial. Then solve for $x$ by setting each value equal to zero.