Given $b,d,e,M\in\Bbb Z$ how can we solve for $x,y\in\Bbb Z$ such that $$by+xd+xy e=M?$$
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Where's the quadratic? – Konstantinos Gaitanas Nov 24 '15 at 09:29
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$\alpha\gamma$ variable – Turbo Nov 24 '15 at 09:31
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Basically, you are asking for integer points along a rotated hyperbola. – Lucian Nov 24 '15 at 14:50