Answer to: Does Asus use the same battery charger for all their PC's?No, but you can find universal laptop chargers online that are pretty cheap. Look for one that has the same power rating as your current charger (i.e. 60W, 90W, etc.) and one that has a tip that matches the one you've got from Asus and you're all set. If you remove the battery and it works while plugged in with your existing adapter then you may have a battery problem...
Answer to: Toshiba laptop with the black screenWhen you reboot do you literally see nothing on the display, as in no Toshiba splash screen, etc.? The first thing I'd try is removing and re-seating the memory, because you may get lucky, however it truly sounds like your problem is a GPU failure. Try connecting to an external monitor and see if you get anything out of the VGA or HDMI port... and failing all that, time to call Toshiba for warranty service.