SOLUTION: Solve for a. 6a(a+3) = 2a(3a+5)+16

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Question 121920: Solve for a.
6a(a+3) = 2a(3a+5)+16
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
6a%28a%2B3%29+=+2a%283a%2B5%29%2B16 Start with the given equation


6a%5E2%2B18a+=+6a%5E2%2B10a%2B16 Distribute



6a%5E2%2B18a+-+6a%5E2-10a-16=0 Get all of the terms to the left side



8a-16=0 Combine like terms



8a=0%2B16Add 16 to both sides


8a=16 Combine like terms on the right side


a=%2816%29%2F%288%29 Divide both sides by 8 to isolate a



a=2 Divide

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Answer:
So our answer is a=2