SOLUTION: How do I solve this method? 4/9(w2) + 1 = 5/3(w)

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Question 310889: How do I solve this method?
4/9(w2) + 1 = 5/3(w)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Is this your equation?
%284%2F9%29w%5E2+%2B+1+=+%285%2F3%29w
Multiply by 9 to remove all denominators,
4w%5E2+%2B+9+=+15w
4w%5E2-15w%2B9=0
Factor the quadratic
%284w-3%29%28w-3%29=0
Two solutions:
4w-3=0
4w=3
highlight_green%28+w=3%2F4%29
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.
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w-3=0
highlight_green%28+w=3+%29