Let $a, b$ integers such that $ab+2a+3b=93$. Find all solutions integers.
What I tried is $ab+2a+3b=b(a+3)+2a$ but i don't see how to proceed to related $a$ and $b$ such that see it multiplying and play with combinations of $93=3*13$.
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1There are 12 integer solutions : https://www.wolframalpha.com/input/?i=ab+%2B2a+%2B+3b+%3D+93 :) ( 93 = 3 * 31 ;) ) – Kermatoni Nov 30 '19 at 00:10
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Thank you so much – lepstein Nov 30 '19 at 00:11
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3Hint: If $ab+2a+3b=93$, then $(a+3)(b+2)=?$ – Semiclassical Nov 30 '19 at 00:12
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$$93 = 3 . 31 $$ not $$93 =3 . 13$$ as you said. – hamam_Abdallah Nov 30 '19 at 00:19
