What is the **analytic solution of X** for the equation below?

$$conjugate(X)= \frac{-2\times A}{B\times X} $$

A, B and X are complex numbers. 

Would the magnitude of X be given by this? $$ |X| =\sqrt \frac {-2\times A}{B}$$

Then what would be the solution for the angle? Can I get a polynomial solution for X\_real and X\_imag without having to use atan(.) function?

Thanks in advance for your help.