Alternative to syms for Matlab Compiler

I'm creating an application using App Designer which involves the use of syms to solve an implicit equation.

Unfortunatelly in Standalone or Web applications created with Compiler syms can't be used. Do you know an alternative to solve the following equation without using the symbolic math toolbox? Or any other solution to bypass this problem?

syms R 
g = ((1+nu)*(1-2*nu)*(1-1/(R/b0)^2))/((alpha-1)-(1-2*nu)*(1+alpha)/(R/b0)^2);
omega = -(2*(1-2*nu)*(1-nu^2))/(delta*(alpha-1))*((alpha+1/beta)-(nu/(1-nu))*(1+alpha/beta))/((alpha-1)-((1-2*nu)*(1+alpha)/(R/b0)^2))/(R/b0)^2;
S1 = 0;     
for n=0:1:10
    if n==gam
        S = k*omega^n/factorial(n)*log(R/a);
    else
        S = (omega^n/(factorial(n)*(n-gam))*((R/a)^(k*(n-gam))-1));
    end
    S1=S1+S;
end    
eqn = (nn/gam)*((1-g/delta)^((beta+1)/beta)-(a0/R)^((beta+1)/beta)) == S1;  
sol_R = vpasolve(eqn, R, [a0 Rpl_max]);    

Thank you for your answers.

[John D'Errico]

Write your own solver. Of course, with all of those factorials and exponents in there, be sure you know what you are doing.

[Simone Pavan]

Could you do that? I don't really know where to start.