Problem Section #1 c) Find all pairs $(m, n)$ of non-negative integers for which $m^2+2.3^n=m(2^{n+1}-1).$
Source: Nepal Mathematics Olympiad
Tags: algebra
Problem Section #1 c) Find all pairs $(m, n)$ of non-negative integers for which $m^2+2.3^n=m(2^{n+1}-1).$