x = sym('x', [1 5]);
F = funhddtryone(x);
sol = vpasolve(F);
However, vpasolve() says that there is no solution.
Equations 1, 2, and 4 can be solved for x1, x2, x3 in ways that are not totally unreasonable. After substitution, that leaves two equations in x4 and x5, and solving those for closed form solutions is difficult or not possible.
It would be about that point that you would start graphing to determine whether any solution is feasible.