Okay, so your machine is not POSTing (Power On Self-Test). multiple short beeps means something key isn't working - 5 of them is a code for something.
I suspect your video card isn't fully inserted. Inspect it very carefully and make sure all the connectors on it are fully inserted.
If you have an integrated video card, that's a deeper problem and could mean either your CPU or RAM are in real trouble. If you're sure you've got that stuff properly inserted/connected, then the last thing I'd check is that your power supply is properly hooked up. If you're sure your motherboard is getting sufficient power and everything's inserted properly, than one of those key components is very likely not working properly and you'll need to go through a process of isolation and testing to find the problem.. Or just take the machine in and have someone else do the same thing for you.
Edit: this page contains look up tables for various BIOS maker's beep codes.