Solving a non-linear equation

I am relatively new to MATLAB and just had a quick question. I have the following:

D = (C./r).*(1-(C./V).^(X).*k);
v = V + ((tau.*C)./r).*(1-(C./V).^(X).*h);
L = D./v;

where everything besides C are known values that have already been set:

V = 100;

sigma = 0.15;

r = 0.06;

alpha = 0.5;

tau = 0.35;

X = (2.*r)./sigma.^2;

m = (((1-tau).*X./(r.*(1+X))).^X)./(1+X);

h = (1+X+alpha.*(1-tau).*X./tau).*m;

k = (1+X-(1-alpha).*(1-tau).*X).*m;

I wish to solve for C such that D./v = 1, how can I do this?

[madhan ravi]

besides C are known values

what are the values? provide them

[sittmo]

Thanks, I edited the question to provide that information.

[madhan ravi]

see my answer below

Answer 1

[madhan ravi]

syms C 
V = 100;
sigma = 0.15;
r = 0.06;
alpha = 0.5;
tau = 0.35;
X = (2.*r)./sigma.^2;
m = (((1-tau).*X./(r.*(1+X))).^X)./(1+X);
h = (1+X+alpha.*(1-tau).*X./tau).*m;
k = (1+X-(1-alpha).*(1-tau).*X).*m;
D = (C./r).*(1-(C./V).^(X).*k);
v = V + ((tau.*C)./r).*(1-(C./V).^(X).*h);
C=vpasolve(D==v,C);
D=subs(D);
v=subs(D);
L=D/v