Solving complex equations

I am trying to solve two complex equations, but as I've never really dealt with complex numbers and equations before, I've run into trouble.

The equations are as follows:

For the first one:

;thus:

;which becomes:

;and through a wild goose chase the second one simply becomes:

I honestly do not know what I am doing, a friend of mine gave me some "hints" but he doesn't really know either, and I wouldn't be surprised if it's all wrong. The solution to the first one makes sense (when you know what it's supposed to do) but I still have a feeling that I'm just making humbug here.

Any help would be very much appreciated!