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 .