To clarify, since no one has said this explicitly in this thread, all AMD
GPUs are basically junk. They can't do any sort of 3-D acceleration without
proprietary firmware blobs, and there isn't much of an effort, if any, to
reverse-engineer them (unlike Nvidia cards).
The hierarchy of GPUs from best to worst is: Intel integrated GPUs (e.g.
Intel GMA and Intel HD; full libre drivers provided by Intel), Nvidia cards
(no cooperation from Nvidia, but a mostly successful reverse-engineering
effort), and finally AMD/ATI (Radeon) GPUs (no cooperation from AMD, no major
reverse-engineering effort).
If you have an AMD card that's replacing an integrated GPU, take it out and
offer it for recycling; it's a piece of junk, and it might be blocking an
Intel GPU, which is the best possible choice. If you have an AMD integrated
GPU, and it's a desktop computer, buy an Nvidia card that works sufficiently
with Nouveau (Think Penguin sells one of the better ones), and use that. If
you have an AMD integrated GPU on a laptop, you're probably stuck without 3-D
acceleration, unfortunately.
A quick search suggests to me that what you have is a card, in which case you
might be in luck; pull it out and see what happens. Either switching to your
integrated graphics will have no discernible effect (if you have an AMD CPU),
or it will solve your problem (if you have an Intel CPU).