I have the same issue with my HP Pavilion 360. There are several posts about this, it seems like it is a manufacturer issue. My warranty is expired, but I'm hoping given the circumstances you can help me out.
The model is the HP pavillion x360 Convertible 14m-cd0xxx.
With normal protective use, my laptop screen popped out at the bottom left corner. I believe this was the result of the left hinge not working and causing further damage. Since then, the glass at the bottom has broken, which resulted in a split across the screen. It now will detect touch on the screen in places I am not touching it, and causes glitching.
To make my laptop useable I have duck taped the lower corner and only keep it open . However the screen is still glitchy and often has to be restarted or repositioned.
Had the laptop been built to handle normal use (bending back and forth into ipad mode, and normal open and closing ) the hinge would not have broken and resulted in the cracked screen. This damage has been indicated by many customers in support threads.
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