It's like having a flat tire but no lug wrench. Sometimes you can't do something when missing a tool.
Since the W10 download is free, get that missing part so you can move on.
In parting, I use the one for 10 at https://support.microsoft.com/en-us/help/15088/windows-10-create-installation-media
The only way I can open Windows is in Safe Mode. I tried to reset Windows, but the computer told me that it cannot perform this action in Safe Mode.
Is there any way I can wipe my computer and start with a clean slate?
I have already saved all my important files in multiple external drives, so I don't care what I delete. I do not have any backup images, and I don't have a Windows 10 DVD.
I realize that there might be some solution that doesn't involve reformatting, but I just want to do whatever is fastest. I think that it would take me a long time to diagnose whatever is wrong with my computer. As long as I can find a way to reformat, I think it would be fastest to just start over and reinstall everything.