Solving System of Non Linear algebraic equations

I need help in solving following equations: I tried different solvers like fsolve, lsqnonlin but the solution is not converging. Please note that x(1), x(2), x(3) are extent of reactions of a system.

((6.2975e-11)*((1-x(1)-x(2)-x(3))*((0-3.*x(1)-7.*x(2))^3)*((1+0+8*x(1)+8*x(2)+4*x(3))^8))) - (((4.*x(1)+x(3))^4)*((8.*x(1)+12.*x(2)+x(3))^8));
(0.0184*((1-x(1)-x(2)-x(3))*((0-3.*x(1)-7.*x(2))^7)*((1+0+8*x(1)+8*x(2)+4*x(3))^8))) - (((4*x(2))^4)*((8.*x(1)+12.*x(2)+x(3))^12));
((4.3202e+16)*((1-x(1)-x(2)-x(3))*((1+0+8*x(1)+8*x(2)+4*x(3))^4))) - (((4.*x(1)+x(3)))*((2.*x(3))^2)*(8.*x(1)+12.*x(2)+x(3))*(x(3)));

[Martin Brown]

Hi, It may help if ...

• Do you have the code that you've already tried?
• Have you tried any different options for the solvers?
• What are sensible initial conditions?
• Are there any hard constraints on the variables?

Thanks. Note some of terms are large (e+16 and ^8) and others are small (e-11) so scaling could easily be a problem.

[Walter Roberson]

If the values represent concentrations then are they in the range 0 to 1? Everything is real-valued?