I want to write a code which boils down to equation $(x y) = (x + y) N$.
My task is to find all the possible integer (natural number) solutions for $x$ and $y$. For example, say $N=6$. As $x$ and $y$ are natural numbers, $x+y$ is also a natural number, starting from $1,2,\ldots$ That is, the product $xy$ should meet the multiples of $6$.
Is there any easy way to find all the combinations of $x$ and $y$?