# I Isolating a complex-valued variable

1. Aug 15, 2016

If $A, B,$ and $C$ are complex-valued variables, is there an easy way to algebraically solve for $A$ without splitting the variables into their real and imaginary parts? For example:

$$AB^* = 20AB - A^*C + B^*C^*$$

can be isolated for $A$ but only if the real and imaginary parts are distinguished. That's fine. I am just wondering if there are any other methods to solve for $A$ in the above equation as only a function of $B, B^*, C, C^*$ (i.e. not $A^*$)

2. Aug 20, 2016

### Greg Bernhardt

Thanks for the thread! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post? The more details the better.

3. Aug 20, 2016

### Staff: Mentor

I don't think there is a useful approach that avoids splitting A into components.

4. Aug 20, 2016