Simple problem - cant spot my own mistake

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synthetic.
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Solved, thanks Tedjin.
 
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You're mistake is in this part:

x2 + (3x-100)2 = 10000
10x2 - 600x - 9900 = 0

You haven't expanded correctly.
 
Quite the oversight.

Thanks, Tedjin. I shall aptly punish myself.
 

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