I had the same proble with the black screen after having my hp laptop just over a year. HP won't even talk to me without a charge since my warranty is out. I was told it needs a new motherboard and have bee reading for a couple years at least that hp has know about this default. I'm interested in a class action suit.
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It's hard to take on large corporations. Try and see if you can get some law firm interested. Have all your facts, dates, and data ready before you talk to a firm.