SOLUTION: product of 3 numbers is equal to 5 times of their sum

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Question 911581: product of 3 numbers is equal to 5 times of their sum
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming these are consecutive even or odd numbers since consecutive numbers will not yield an integer answer.
3%28n-2%29n%28n%2B2%29=5%28n-2%2Bn%2Bn%2B2%29
3n%28n%5E2-4%29=15n
3n%5E3-12n=15n
3n%5E3-27n=0
n%5E3-9n=0
n%28n%5E2-9%29=0
n%28n-3%29%28n%2B3%29=0
Three solutions:
n=0 Then the numbers are -2,0, and 2.
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n-3=0
n=3 Then the numbers are 1,3, and 5.
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n%2B3=0
n=-3 Then the numbers are -5,-3, and -1.