I was doing homework from by Complex Variables class, and there was one question that stumped me:

Source:Write the complex equation $\displaystyle z^3+5z^2=z+3i$ as two real equations., 2nd Ed. by Saff and SniderFundamentals of Complex Analysis for Mathematics, Science and Engineering

I don't "see" how I can rewrite this as two real equations. I looked through the section in my text, and it said absolutely nothing regarding this.

Instead of you working out the question for me, I would appreciate some tips on how to do problems like these.

Thank you in advance.