Question 892130
Problem 1: Square both sides:
{{{(3m+10)^2 = (m+6)^2}}}
==> {{{9m^2 +60m + 100 = m^2 +12m +36}}}
<==> {{{8m^2 + 48m +64 = 0}}}
<==> {{{m^2 +6m + 8 = 0}}}
<==> (m+2)(m+4) = 0 ==> m = -2, -4, which are found to satisfy the original equation after a quick check.

Problem 2 is done in a similar fashion.