Hi erutter, and Welcome to us! ;D
Unfortunately, fixing a video card is not practical. Depending on your system you have the following choices:
1. If you are running the onboard graphics built in to your motherboard, simply drop a new graphics card into the AGP or PCI slot on your motherboard and disable the onboard graphics chip through the BIOS.
2. If the faulty graphics card is separate and your motherboard has onboard graphics, remove the faulty card and enable the onboard graphics. This should be adequate for most purposes apart from playing games or editing video - it will not be powerful enough.
3. If the faulty graphics card is separate and your motherboard has no onboard graphics then you will have to swap out the graphics card for a new one.
If you are unsure about how to proceed, download
Belarc Advisor and run it. Post back the exact make and model of your motherboard and your current graphics card (the motherboard type is shown in the 'Main Circuit Board' section, the graphics card in the 'Display' section) and we can run through it with you.
Please do not post the whole Belarc report as there is information in there (such as software license keys) that should not be made public.