Question 364824
{{{1/(3-m) + 7/(2m+3) = 0}}},
{{{(2m+3+7(3-m))/((3-m)(2m+3)) = 0}}},
{{{(2m+3+21-7m)/((3-m)(2m+3)) = 0}}},
{{{(24-5m)/((3-m)(2m+3)) = 0}}},
This implies that 24 - 5m = 0, or m = 24/5, which, since it won't make the denominator zero, is the final answer.