I have this exact same problem and same model - I've taken the memory and hdd out of the laptop it did not help.
I measured the adapter with a multimeter and it's fine.
I tore it to shreds and took the bios battery out and left it out for about 2 hours, put everything back together but same problem.
Tried attaching a 2ndary screen to the vga port still no picture at startup.
Checked the system fan it seems to be fine.
Anyone have any ideas ?
I'm beginning to think the motherboard is just toast
thechronic did you find a solution ?
I also measured the bios battery it's fine.