The only reason your monitor would work via hdmi or dvi but then your tv does not work would beI did disable Intel card and my screen went black. Had to take it in to shop to get default settings back (they didn't charge me).
Sent from my Nexus 6P using Tapatalk
*forcing some crazy resolution
*Bad or too long of Hdmi cable
*bad Hdmi port on the TV
or maybe if it is on a crazy refresh rate (not positive on that one)
*Trying to run both displays at the same time, if you card is unable or incorrectly set up
If it was me, hook it up as simple as possible. While your monitor is plugged in, lower your resolution as low as it can go on your settings, plug your computer directly into an Hdmi port on the tv and see what happens. Also, updating your drivers never hurt either...
Worse case scenario is you would have to change it back in safe mode if things got real messed up.