I want to solve the equation 2*x-x*sqrt(x)-1)^(1/3)+sqrt(x)+(1-2*x)^(1/3) = 0 in real numbers. I tried
> restart:
with(RealDomain):
solve((2*x-x*sqrt(x)-1)^(1/3)+sqrt(x)+(1-2*x)^(1/3) = 0);
Maple out put loss the solution x = 0. I don't understand why.