Symbolically solving an equation with multiple variables

This is the nozzle expansion ratio equation and I am attempting to solve for the exit pressure. It is quite complex to rearrange for Pe (exit pressure) by hand so I figured I would put it into Matlab and solve symbollically. I keep getting an empty vector for solveEqn... I'm quite inexperienced with solving symbollically in Matlab so I would appreciate some help. Thank you.

syms Pe k A_ratio Pc

A_ratio = 2.06265092035577;

k = 1.1876;

Pc = 3447378.65;

eqn = ((k+1)/2)^(1/(k+1))*(Pe/Pc)^1/k*sqrt((k+1)/(k-1))*(1-(Pe/Pc)^(k-1)/k) == A_ratio;

solveEqn = solve(A_ratio, Pe);

Answer 1

[VBBV]

@Anna Julia, You can calculate the exit pressure something like this, by using the eqn and vpasolve

% exit pressure low
syms Pe 
A_ratio = 2.06265092035577;
k = 1.1876; 
Pc = 3447378.65;
eqn = ((k+1)/2)^(1/(k+1))*(Pe/Pc)^(1/k)*sqrt((k+1)/(k-1))*(1-(Pe/Pc)^(k-1)/k) == A_ratio; 
solveEqn = vpa(real(vpasolve(eqn, Pe)),8)

solveEqn = 

 % check the equation you typed in Matlab with actual equation 
 % exit pressure high (undesirable)
eqn = ((k+1)/2)^(1/(k+1))*(Pe/Pc)^(1/k)*sqrt(((k+1)/(k-1))*(1-(Pe/Pc)^(k-1)/k)) == A_ratio; 
solveEqn = vpa(real(vpasolve(eqn, Pe)),8)

solveEqn = 

5110154.2