Getting a degree nowadays without incurring any debt is not something you see every day, that being said it can be done. I don't know of any free universities myself, but there are colleges that are very affordable and offer online courses so you could study and work part time, or even full time to help pay your way through.
There are many companies out there that will pitch in for you to go to college and become even more valuable employee.
I know that taking on debt to pay for college is a scary thing to do, but that too can be a good investment if you plan it all right.
If not sure how to go about it speak with a professional, a financial advisor can help you plan for it.