Gday,
Hmmm never seen a zd8001, i work on the bussiness line products mainly, but if its any relation to the 8000 series i work on then the lines will spread slowly till the screen is pretty well unusable. I will see if i can look it up in the HP cybrary for you and see if theres anything you can do, best option with something like that is to find another dead laptop with a good screen, or only use an external monitor...
