During my studies, I have seen equations of this form $$xy+bx+cy+d=0$$ Is there a way to find solutions of equations of this form or the number of solutions of equations of this form without factoring or checking within a range?
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That's the same as $(x+c)(y+b)=bc-d$, so really it is just a factoring problem. – Angina Seng Apr 02 '19 at 15:56
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Hint
Assuming $b,c,d$ are given integers,
$$(b+y)(c+x)=bc-d$$
Or $$y=-\dfrac{bx+d}{c+x}=-b+?$$
lab bhattacharjee
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