Question 46
Find all the integer solutions of the equation
$$
9 x^{2} y^{2} + 9 x y^{2} + 6 x^{2} y + 18 x y + x^{2} + 2 y^{2} + 5 x + 7 y + 6 = 0
$$
$$
9 x^{2} y^{2} + 9 x y^{2} + 6 x^{2} y + 18 x y + x^{2} + 2 y^{2} + 5 x + 7 y + 6 = 0
$$
Math Olympiad Vault · MathNet 2005 — Part 03