I came across this same issue with my 5125. reading through countless pages and following Dells instructions didn't yield any good result. What finally solved my issues was to disconnect the power cord, take out the battery, remove the center underside panel, allowing access to Ram memory - and for some reason, taking the 2gb RAM card in slot 1, and moving it to slot 2, I was able to boot up, and test my system, finding that the computer had an error, and was unable to come out of hibernation. I had guessed this was the issue, but didn't want to really open the computer up like others had in previous posts, seeing that I was still under warranty. I was able to place the remaining 1gb RAM card in slot 1 - So essentially I just swapped the positions of both RAM cards - and since then the computer has had no issues. I made sure the hibernation feature was turned off from all power modes to prevent this in the future. Hope this helps someone out there.. Just remember, these are Dells: there will be more problems to come. Good luck
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Problem solved - for me anyway!
I finally got through to Dell tech support, and this is what they had me do. Hopefully I can remember all the steps! Note: mine is a 5100, the configuration might be different for other models, but I would think the basic diagnostic process would be the same
First verify the brick (power supply) is getting power (green light is on)
1. unplug the AC power and remove the battery, hold down the power key for 10 secs, plug AC back in and try to start the computer (didn't work)
2. remove AC plug, hold down power key for 5 secs (to discharge), remove screw from bottom of laptop labeled M (memory), remove all memory cards, plug in AC, and try to start (checks for bad memory - didn't work)
3. remove AC plug, hold down power key for 5 secs, re-insert 1 memory card, plug in AC and try to start (didn't work)
4. if there are 2 cards, repeat process with other card (didn't work)
5. remove CD/DVD drive - loosen the screw labeled O (optical) on the bottom of the laptop, inside memory bay is a black plastic tab, push the tab towards the CD/DVD drive to release the drive, plug AC back in, try to start (checks for problem with optical drive - my DVD drive would not come out - didn't get this resolved)
6. remove AC plug, hold down power key for 5 secs, re-insert all memory cards and cover, optical drive, and screws
7. remove 2 screws (unlabeled) securing hard drive (next to CD/DVD drive; also secures the PCMCIA card slot if there is one - all one unit) from bottom of laptop, and remove hard drive, plug AC back in, try to start (checks for problem with hard drive - didn't work)
8. diagnosis - bad mother board
Luckily, mine was still under warranty (10 months old) and Dell replaced the motherboard and CPU - works like a charm now
good luck!"