I also have the same type of problem. I purchased a G60-200 that was shipped from China March 25, 2009 and received by me March 30th. May 28th, with the unit just two months old, I notified HP that a horizontal black line, about an inch long, had developed in upper left corner. This unit had never left my family room since the time I received it and I am a senior living alone so no one else had touched it. What followed was a month of frustrating contact with off shore support, they diagnosed the problem online as a motherboard problem. I was promised twice that a return box was shipped during this month and I finally demanded that they provide a tracking number or a supervisor.
June 22nd I got a call from an english speaking HP representative, Kimba. She assigned a repair # and shipped a return box which I received next morning. I packed the unit and returned it June 23rd. By this time the single pencil thin black line had developed into what looked like pencil scribble still about inch long and maybe half inch thick. June 26th Kimba called me to state that they now diagnose it as a cracked LCD that is not covered by warranty! I questioned where in the warranty LCD's were excluded. She had to go off the call to look that up, she returned after a long time on hold. She then stated that it was the accident, abuse, misuse section. I protested that none of that applied and the unit had sat in my house untouched other than normal use as a computer. She stuck to the company line and said that it would cost $400 to fix it! I was floored by that and told her that I would not pay $400 to fix a $600 item, ridiculous! This unit I feel had to be defective when I bought it, it never left the room I unpacked it in when it was received and the lines developed. A laptop is supposed to be able to be used as a portable device, this one hadn't left the room!
The unit was returned to me with the CID sticker firmly in the middle of the screen. I plan on notifying my consumer affairs office as I do not believe this product is "fit for the use intended" as required by law. I will also contact my credit card company with the same complaint.
Thanks to Stockjock for the detailed instructions, I also had not been able to find other than general instructions which did not apply to this model.