1. The problem statement, all variables and given/known data Write [itex]z^3 + 5 z^2 = z + 3i[/itex] as two real equations 2. Relevant equations z=a+bi? 3. The attempt at a solution I've been just playing around with this. I expanded, grouped the real and imaginary parts. I'm really just think I'm groping around desperately in the dark. I think I'm just missing something basic. Any hints would be greatly appreciated. Until then I'll be having a head butting contest with the sidewalk.