Answer
$q=-7/3, 2$
Work Step by Step
$3q^2+q-14=0$
$3q^2-6q+7q-14=0$
$3q(q-2)+7(q-2)=0$
$(3q+7)(q-2)=0$
$3q+7=0$
$3q+7-7=0-7$
$3q = -7$
$3q/3 = -7/3$
$q = -7/3$
$q-2=0$
$q-2+2=0+2$
$q = 2$
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