Answer
$x=3,5$
Work Step by Step
$x^{2}=8x-15$
$x^{2}-8x+15=0$
$(x-3)(x-5)=0$
$x=3,5$
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.