While in search of a solution for my laptop suspend problem I found out that the BIOS, which was initially supplied is very buggy and there is an update. My version was F11, while the latest one is F16. The only problem is the way HP supplies updates for this thingy: only for windows in form of executables.
Thanks to this article, I managed to create work around and flashed my BIOS for HP 6730b. If you run same laptop with version of BIOS earlier than F16, I strongly suggest updating.
The update didn’t fix my problem with suspend, but it did fix few glitches with video stuff.