SOLUTION: there are two pairs of consecutive integers such that their product is three less than three times their sum.

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Question 408702: there are two pairs of consecutive integers such that their product is three less than three times their sum.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
x(x+1) = 3(x+x+1)-3
<==> x%5E2+%2B+x+=+3%282x+%2B+1%29+-+3
<==> x%5E2+%2B+x+=+6x+%2B+3+-+3
<==> x%5E2+%2B+x+=+6x
<==> x%5E2+-5x+=+0
==> x = 0, 5
If x = 0, x +1 = 1 ==> {0,1}
If x = 5, x+1 = 6 ==> {5,6}.