Answer
$w=\pm \frac{2\sqrt 21}{3}-3$
Work Step by Step
$3w^2+18w-1=0$
$w^2+6w-\frac{1}{3}=0$
$(w+3)^2=\frac{28}{3}$
$w+3= \pm \frac{2\sqrt 21}{3}$
$w=\pm \frac{2\sqrt 21}{3}-3$
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