perplexus.info :: Just Math : Integer Equation Illation

Integer Equation Illation (Posted on 2016-09-04)

Determine all possible triplets (X,Y,Z) of integers that satisfy this equation:
(X+Y)(Y+Z)(Z+X)/2 + (X+Y+Z)³ = 1 - X*Y*Z

See The Solution Submitted by K Sengupta

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