Answer
$x=-4$ or $x=4$
Work Step by Step
We solve by factoring the difference of two squares:
$x^{2}-16=0$
$x^{2}-4^2=0$
$(x+4)(x-4)=0$
$(x+4)=0$ or $(x-4)=0$
$x=-4$ or $x=4$
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