Answer
{$11,17$}
Work Step by Step
Factoring the equation and setting the factors equal to zero, we obtain:
$x^{2}-28x+187=0$
$x^{2}-11x-17x+187=0$
$x(x-11)-17(x-11)=0$
$(x-11)(x-17)=0$
$(x-11)=0$ or $(x-17)=0$
$x=11$ or $x=17$
Therefore, the solution set is {$11,17$}.
