Hello to everyone!

I have a mathematic problem I need to solve, and it involves finding the 
values of three consecutive numbers, x, y and z. I need to be able to find 
every instance of these from negative one million (-1,000,000) up to one 
million (1,000,000). They must follow the following equations:

x + y + z = 5
x + y - z = 7
(x - y)(x - y)(x - y)  + (y - z)(y - z)(y - z) = (x - z)(x - z)(x - z)

I'm completely and utterly stumped. I intend on solving this via Ruby, as 
doing it on pen and paper might take a while. ;) If anyone has any 
suggestions, I'd love to hear them.

Thanks!

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