Solve Nonlinear complex equation

Hello everybody How can I solve th equation below for X1 and X2 in MATLAB?

For more information, one of Ci's should be found by calcualtion and input in this equation other Ci's are known. Thank You for your help

[Star Strider]

One equation in three unknowns, especially when the complex exponentials are by definition periodic?

There are ∞ solutions!

[John D'Errico]

As Star says, you cannot solve this in any meaningful way. You can pick ANY arbitrary value for X1, and then there will still be infinitely many solutions for X2.

[Reza Lashani]

No it has not three unknowns. It just has two unknowns all Ci's are pre-defined or pre-calculated.

[Reza Lashani]

This equation is a physical equation based on a mechanism. Obtained by vector loop method. It should have a meaningful answer.

Answer 1

[David Hill]

syms c1 c2 c3 c4 c5 c6 x1 x2;
eqn=c1*exp(1i*x1)+c2*exp(1i*c3)-c4*exp(1i*c5)+x2*exp(1i*c6)==0;
a=solve(eqn,x1);
b=solve(eqn,x2);

[John D'Errico]

Which does nothing, because it just solves for one of the unknowns as a function of the other.

[Reza Lashani]

Thanks David. But as John says it doesn't find the values of Xi's, just find the relation of X1 as a function of X2 and vice versa