Question 834269
{{{t^2-9=(t+3)(t-3)}}}
{{{2t+6=2(t+3)}}}
{{{(5t)/(2t+6)-(4)/(t^2-9)=5/2}}}
{{{(5t)/(2(t+3))-(4)/((t+3)(t-3))=5/2}}}
Multiply both sides by {{{2(t-3)*(t+3)}}},
{{{5t(t-3)-4(2)=5(t-3)(t+3)}}}
{{{5t^2-15t-8=5t^2-45}}}
{{{-15t=8-45}}}
{{{-15t=-37}}}
{{{t=37/15}}}