SOLUTION: The sum of two times an interger and three times its square is 225. Find the number

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Question 840710: The sum of two times an interger and three times its square is 225. Find the number
Answer by hamsanash1981@gmail.com(151) About Me  (Show Source):
You can put this solution on YOUR website!
Let the integer be x.
2x+%2B+3x%5E2+=+225
3x%5E2+%2B+2x+-225=+0
3x%5E2%2B27x-25x+-+225+=+0
3x%28x%2B9%29+-25%28x%2B9%29=0
%283x-25%29%28x%2B9%29=0
x+=+25%2F3%2C+x+=-9
x=-9 does not satisfy the condition.
therefore+x+=+25%2F3