How to safely disconnect laptop video cable?

I was using my laptop when the screen suddenly turned green, no damage as far as I can tell. I did some googling and checked the LVDS cable which appears to be misconnected.

I pulled and it's not coming out. It was only covered with some black tape, I don't see any latches or anything but I don't want to risk fumbling about and damaging something.

If it matters, I believe this is a Jumper Ezbook 3, the cable also looks similar.