Question: analytical solution with Maple

I am trying to solve the following equation with maple

g:=t->(-l*a^2*t+l*a^2*r^(-1/(a-1))*(A*l)^(-1/a)*(1-t)^(-1/a)*exp(1/(a-1))*t-l*a^2*r^(-1/(a-1))*(A*l)^(-1/a)*(1-t)^(-1/a)*exp(1/(a-1))+l*a^2-l*a-2*l*a*r^(-1/(a-1))*(A*l)^(-1/a)*(1-t)^(-1/a)*exp(1/(a-1))*t+2*l*a*r^(-1/(a-1))*(A*l)^(-1/a)*(1-t)^(-1/a)*exp(1/(a-1))+l*t*a-a*r^(-1/(a-1))*(A*l)^(-1/a)*(1-t)^(-1/a)*exp(1/(a-1))+l*t*r^(-1/(a-1))*(A*l)^(-1/a)*(1-t)^(-1/a)*exp(1/(a-1))-l*r^(-1/(a-1))*(A*l)^(-1/a)*(1-t)^(-1/a)*exp(1/(a-1))+r^(-1/(a-1))*(A*l)^(-1/a)*(1-t)^(-1/a)*exp(1/(a-1)))*exp(-1/(a-1))/(t-1)/a;

It is an ugly expression but I really need to solve it. So as you see I defined a function g(t) now when I type

solve(g(t)=0,t);

then Maple returns another ugly expression with RootOf and _Z which I cannot interpret. Can some one help me in finding the analytical solution of the above equation?