There seems to be a simple+elegant way and a somewhat ugly way to solve this
Find all pairs of positive integers \((m,n)\) such that : \[\large m+n=m^2−3mn+2n^2\]

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we need to put value ad try :O

the solution pairs (m,n) are -
(0,0)
(-15,-10)
(-15,-12)
(-20,-12)
(-14,-10)
(1,0)
(1,2)
(6,2)

does it have something to do with factoring? because you can factor the right side.

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