help me out in solving the non linear equations with three variables

TP =-( (1/T)*(P*(Q-E)+(s*E)-(c*Q)-o- h*(alpha*w^beta*exp(-lambda*P)*((t1^3/(6*m)-(t1^2/2))+Q*t1))...

-(h/2)*(w+E)*(T-t1))) i am need of the optimal solution for E,P,T

t1= m- sqrt((m-T)^2+2*m*(w^(1-beta)-E^(1-beta))/(alpha*(1-beta)*exp(-lambda*P)));

Q=w+(alpha*w^beta*exp(-lambda*P)/(2*m))*(m^2-(m-T)^2-((2*m*(w^(1-beta))-(E^(1-beta)))...

/(alpha*(1-beta)*(exp(-lambda*P)))));