SOLUTION: solve for n 5/3n-8 = n/n+2

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Question 681378: solve for n 5/3n-8 = n/n+2
Answer by ReadingBoosters(3246) About Me  (Show Source):
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5%2F%283n-8%29+=+n%2F%28n%2B2%29
...
Cross Multiply
5(n+2) = n(3n-8)
...
Distribute the 5 and n
5n+%2B+10+=+3n%5E2+-+8n
...
Group on terms on the right
0+=+3n%5E2+-+8n+-+5n+-+10
0+=+3n%5E2+-+13n+-+10
(3n+2)(n-5) = 0
n-5=0, so highlight_green%28n=5%29
AND
3n+2=0
3n = -2
highlight_green%28n=-2%2F3%29
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