Can anyone tell me what this is about: 
I keep getting it everytime my PC starts up.
I've no idea of the technicalities of this, but as soon as I saw HP drivers in the equation, I wonder if you have updated your drivers recently? If not, it might just be a damaged driver.
I googled "de-bug assertion failed hp drivers", and came up with this:
Computer Support - Visual C++:
Exactly your problem.
My first thought was reinstall the drivers, and the suggestion from that link is the same.
In my C:\hp\drivers\LightScribe folder, there's an LS_HSI.msi installer package, which will repair or reinstall your lightscribe driver.
If you select "modify" in that window, you get the option to reinstall.
In C:, hp is a hidden folder. Windows Explorer / Tools / Folder Options / View / Show Hidden Files And Folders.
Hope this helps.
Any other suggestions? If not then i'll repair...