I'd use a dummy variable to start with.

Let

so that the equation becomes

.

This means that

or

You would need to convert to polars and use DeMoivre's Theorem to find .

Case 1: .

.

Note that is in Quadrant 2.

So

.

So

Using DeMoivre's Theorem:

.

It is also important to note that there is another solution, and the two solutions are equally spaced along the unit circle. Can you find it?

Case 2: .

Follow the same procedure as above. Note that is in quadrant 4.