Finite Division

Find all integers x, y, z, w that satisfy `x^2+y^2=3z^2+3w^2`.

Difficulty level (1 very easy - 10 very hard): 4

Topics:
Number Theory -> Modular Arithmetic / Remainder Arithmetic -> Divisibility Rules Number Theory -> Division -> Parity (Even/Odd) Proof and Example Algebra -> Equations -> Diophantine Equations
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