Anyway, I got asked if I could fix a Macbook that was turning itself off. Sure, that's probably just performing the firmware update. But when I got the Macbook, it turned off just moments after starting OSX.
I put it in the freezer for 20 minutes and tried booting it again, yup, this time it took longer before it would turn itself off. I put it back in the freezer for a few hours. Booted it, started the firmware update, praying that it wouldn't turn itself off. Everything went successful and after that the laptop worked perfectly!