This is a new problem that has started in the last week. No new software has been installed. I have tried uninstalling, disabling all firewalls/antivirus programs. Here is a video that shows exactly what it is doing.
Find the Application log and open it up. Find the time where you last tried to run eso.exe (just try to run it again so it'll be recent).
Show us what the error says in there, if it logs something (it should)
You may have a corrupted addon or problematic settings.
Navigate to %userprofile%\Documents\Elder Scrolls Online\ (copy paste that in your run window)
Rename your live folder to something like livebackup
If the game successfully launches then you know where your problem lies.