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.
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.