Answer
$-\frac{3}{4}$
Work Step by Step
$16x^{2}=-24x-9$
$16x^{2}+24x+9=0$
$(16x^{2}+12x)+(12x+9)=0$
$4x(4x+3)+3(4x+3)=0$
$(4x+3)(4x+3)=0$
$4x+3=0$
$4x=-3$
$x=-\frac{3}{4}$
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