Question: Solver : Warning, solutions may have been lost

Hi I have a problem with the resolution of an equation. When I tried to solve it it returns "solutions may have been lost"... Here is the problem:

restart:with(Statistics):
> x:=rand()/10^12;

                               197859430267
                          x := ------------
                               500000000000

> X:=RandomVariable(Gamma(2,4));

                               X := _R

> XL:=RandomVariable(ChiSquare(3));

                              XL := _R0

> N:=RandomVariable(Poisson(8));

                               N := _R1

> A:=(Variance(N)-Mean(N))/Mean(N);

                                A := 0

> f:=L->Mean(min(XL,L)**2)+A*Mean(min(XL,L))**2-x**2*(Mean(X**2)+A*Mean(X)**2);
> 

                                       2
  f := L -> Statistics:-Mean(min(XL, L) )

                                         2
         + A Statistics:-Mean(min(XL, L))

            2                    2                         2
         - x  (Statistics:-Mean(X ) + A Statistics:-Mean(X) )

> solve(f(L)=0,L);
Warning, solutions may have been lost