Answer
$x=\frac{3}{4}$
Work Step by Step
We simplify as follows:
$(4x-3)(16x^{2}-24x+9)=0$
$(4x-3)(4x-3)^{2}=0$
$(4x-3)^{3}=0$
$4x-3=0$
$4x=3$
$x=\frac{3}{4}$
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