Answer
$w=4$ or $w=\frac{3}{2}$
Work Step by Step
$2w^2-11w=-12$
$2w^2-11w+12=0$
$(w-4)(2w-3)=0$
$w-4=0$ or $2w-3=0$
$w=4$ or $w=\frac{3}{2}$
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