I am trying to project a video texture onto a convex television screen. For some reason, no matter how I adjust the mesh edges on the left, that black strip is still showing. I don't think I have a good understanding about how the unwrapping works, especially since I see all these outlier edges isolated from the main screen area. I've experimented with Smart UV Project, but sometimes, it produces edges on the map I can't correlate back to the tv-screen's selected face. Would appreciate any feedback since I just started using Blender. Thanks!
10/30/20 - Added a picture to show defect more clearly.
10/30/20 - FIXED! Had to switch the material of those defect edges per @Jachym Michal's advice!