Question: Forcing Maple 11 to find the solutions

Hello, I have an equation to solve over the integers. I already know that there are an infinite number of solutions, but I would like to know how I can get Maple to reproduce my results. I used isolve, but it returned nothing. Is there a trick or way of phrasing the question to get Maple to solve the problem? Thanks isolve((x+y+z)^3 = x*y*z) I also tried (with the same results): isolve((x+y+z)^3-x*y*z = 0) The solution is obviously: {0, n,-n} or some permutation of this set. Note I would like to be able to solve this as if I had no guess! Thank you.
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