First, you have an inequality involving complex coefficients, but you are told it has to be less than a real number. Since complex numbers can NOT be ordered, you require putting in values which will give you a REAL solution.
So that means that the expression needs to be real. So if we let where , then that gives
For this expression to be real, that means
Case 1: would give
We require this expression to be , so we have
Case 2: would give
We require this expression to be , so we have , but since there are not any solutions.
So that means that the solution to your equation is where .