Answer
The solution set is { $-12,12$}.
Work Step by Step
$\frac{3}{4}|x|=9$ Isolate the absolute value by making the coefficient of$ |x|$ one.
$|x|=9\cdot\frac{4}{3}$
$|x|=12$
$x=12$ or $x=-12$
The solution set is { $-12,12$}.