how to solve this complex equation in matlab?

I have an equation exp(pi/4*i)*(5+15i)+exp(i*theta)*(25+5i)=40+exp(i*gama)*(-10+20i)

how can I get theta and gama in matlab?

THANK YOU

[peng peng]

theta and gama are both real number

Answer 1

[Star Strider]

Try this:

syms theta gama 
Eqn = exp(pi/4*i)*(5+15i)+exp(i*theta)*(25+5i) == 40+exp(i*gama)*(-10+20i);
[theta,gama] = vpasolve(Eqn, [theta,gama])

There are likely an infinity of solutions.

Here is one:

theta =
- 0.040930734767103408831012033619698 - 0.24192384707974160991614274286353i

gama = 
0.19932582865736336790217825251885 - 0.085773888296270118753805499893846i