Answer
$v=\pm \frac{8}{3}$
Work Step by Step
$9v^2-64=0$
$(3v)^2-8^2=0$
$(3v-8)(3v+8)=0$
$3v-8=0$ or $3v+8=0$
$v=\pm \frac{8}{3}$
There are two solutions, $v=\pm \frac{8}{3}$
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