Last time I got stuck in this problem which I have posted earlier. Today I have come accross to this new situation.
How to solve the diophantine equation $ax^2+hxy+by^2+c=0$ in integers ? Given all of $a,b,c,h\in \mathbb Z$.
The motivation was to solve $30x^2+21y^2-57xy+729=0$ in integers which through MAPLE i got as $(x,y)=(-22,-17), (-10,-11), (10,11), (22,17)$.