I have dell inspiron 14r n4010. I have recently shown up with same problem. but i havnt gave up on it. just remove battery and ac connection and press hold power button for 10 to 30 s to drain out the battery then put battery on and start laptop with power button. tyr this for 3 times. I have strange ridiculous solution for my problem of black screen of death(BSOD). I have to keep trying power ON- OFF till i see dell logo.
with 10+ power on offs i can see the booting of my laptop.
Actual cause of problem unknown yet.
Initially i took latop to dell service centre they said mother board problem and it cost me rupees 14,000/- + 1365/- diagnostic charges!!!
I came home and did all initial checkups shown on youtube. finally ended up with my own solution of this as of now!!.