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Homework Statement
Solve the equation (x & y are integers):
[itex](x^3+4)(xy^2-x^2y+3y^2-12)=x^6[/itex]
Homework Equations
The Attempt at a Solution
[tex]xy^2-x^2y+3y^2-12=\frac{x^6}{x^3+4} \\
xy^2-x^2y+3y^2-12=x^3-4 + \frac{16}{x^3+4} \\
16 \geq x^3+4 \\
x^3 \leq 12
[/tex]
That's all I can think of to do. I've tried expanding it and it doesn't seem to help. Any hints, please? Thanks.