Answer
{$-9,5$}
Work Step by Step
Factoring the equation and setting the factors equal to zero, we obtain:
$x^{2}+4x=45$
$x^{2}+4x-45=0$
$x^{2}-5x+9x-45=0$
$x(x-5)+9(x-5)=0$
$(x-5)(x+9)=0$
$(x-5)=0$ 0r $(x+9)=0$
$x=5$ or $x=-9$
Therefore, the solution set is {$-9,5$}.
