From what I've read on Toshiba's site, they may generate the key based on the hardware with their install process. Maybe someone else that uses Toshiba can confirm this. You may need to request a recovery media from Toshiba, revert back to your original OS then you can use magic jelly bean key finder to extract the Windows Product key and do a clean Windows 10 install. I know it sounds like a lot and it is, but it's probably going to be your only option. That or purchase a Windows 10 key.