Answer
$x=25$ or $x=-20$
Work Step by Step
We solve by factoring:
$x^{2}=5(x+100)$
$x^{2}=5x+500$
$x^{2}-5x-500=0$
$(x-25)(x+20)=0$
$x-25=0$ or $x+20=0$
So we have: $x=25$ or $x=-20$
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