Answer
$w = 1.5, 4$
Work Step by Step
$2w^2-11w=-12$
$2w^2-11w+12=-12+12$
$2w^2-11w+12=0$
$2w^2-3w-8w+12=0$
$w(2w-3)-4(2w-3)=0$
$(2w-3)(w-4)=0$
$2w-3=0$
$2w-3+3=0+3$
$2w = 3$
$2w/2 = 3/2$
$w = 1.5$
$w-4=0$
$w-4+4 =0+4$
$w = 4$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.