Question: nonnegative integers in an identity

In the example below, I find integers that solve the equation. That solution happens to be nonnegative. But in general, just plugging in zeros may not give me a nonnegative solution. What is a good way to find a *nonnegative* integer solution, if one exists?

> aa := x^(-4)*exp(-2*x);

> pmu:=product(muval[j]^a[j],j=1..kmax);

> vars := {a[j]$j=1..kmax};

> solve(identity(pmu=aa,x),vars) assuming x>100;

> isolve(%);

> subs({_Z1=0,_Z2=0},%);


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