Ah yeah, I had somewhat of a similar problem with another HP computer I was using. I don't know if yours is the same but when I booted it up, there was a black screen and then the HP recovery software popped up. There was an option "System Recovery" as well as "System Restore". Try the system restore option. If the HP software doesn't load automatically, go into your start menu and load it up.
The way mine was setup, it would allow the computer to make 1 set of recovery disks. Make those if you still can. Then it may prompt you to backup your data. Do that too. When I did it, it took maybe an hour+ (slow and painful but oh well). Then I did a system restore as well as a system recovery (in that order I think but not sure).