AT-OEMO-REG 2012 Problem 2

Determine all integer solutions $(x, y)$ of the equation $(x - 1)x(x + 1) + (y - 1)y(y + 1) = 24 - 9xy\text{.}$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.