Question 132696
{{{  6/(m-5) -  3/(m+5) = 15/((m)^2-5)}}}
{{{ (6(m+5)-3(m-5))/((m-5)(m+5)) = 15/((m)^2-5)}}} Taking LCM
{{{ (6m+30-3m+15)/(m^2-5) = 15/((m)^2-5)}}} 
{{{ (3m+45) = (15 (m^2-5))/((m)^2-5)}}} cancel (m^2-5) in numrator and denomenator on Right hand side
3m + 45 = 15 
3m = -45 +15
3m = -30
m = -10