Complex equation

Are there solutions to this equation? If yes, how could I calculate it/them?
This was a question on a test I had and I suspect it was a typo, though I still would like to know how to solve it.

I tried multiplying by -i, this gives:

But I can't see how I could factorise this.

Thanks in advance.

By the Fundamental Theorem of Algebra, this equation has two complex roots. They might be repeated, but there is definitely a solution. I would use the quadratic formula. It's still valid even when the coefficients are complex.

Ah, yes, I see. For anyone who's wondering, the roots are and

Thanks a lot!

You're very welcome. Have a good one!

I think your roots are the opposite sign of what they should be. I would double-check them.