Answer
$q=\sqrt 6-2$ or $q=-\sqrt 6-2$
Work Step by Step
Given: $-3(q+2)^2=-18$
Divide both sides by $-3$: $(q+2)^2=6$
We have: $q+2=\pm \sqrt 6$
Solve for q: $q=\sqrt 6-2$ or $q=-\sqrt 6-2$
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