This isn't exactly a "solution" so much as an "end of the road". I have a DV2000t which has a broken lid switch, only powers on after battery and power are unplugged (but new BIOS did not fix), only turns on fan briefly during boot then never again (but new BIOS did not fix), has gone through a couple inverters, no longer powers on from power button (due to poor soldering), has non-functional wireless (no network), powers up and down in three seconds if CMOS isn't cleared, and has had the related orange touchpad light. In short, it has had EVERY problem that the recalled DV2000 series laptops have had, and yet the model is not on the recall list. I also called HP and confirmed that, because the warranty period is over, I have no option but to pay a lot for replacement parts from HP.
So the "solution" is to part it out on eBay and happily go without a laptop. Buying a replacement motherboard for this laptop isn't much of a solution, because it's still the same junk hardware, but if anything else goes wrong, there's no coverage.