SOLUTION: w^2-2w=15 need to solve by factoring and show how the work is checked with steps Thank you

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Question 962178: w^2-2w=15 need to solve by factoring and show how the work is checked with steps
Thank you
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

w%5E2-2w=15
w%5E2-2w-15=0.....write -2w as 3w-5w
w%5E2%2B3w-5w-15=0....group
%28w%5E2%2B3w%29-%285w%2B15%29=0...factor out w from first group and 5 from second group
w%28w%2B3%29-5%28w%2B3%29=0
%28w-5%29%28w%2B3%29+=+0