How do I repair a 2 inch hole in the center of my carpet?

The carpet is not wall to wall. I have extra piece of the same carpet to use for the repair. I still have the carpet backing in place so I have tried to glue another small piece of carpet on top of the backing in it’s place but it doesn’t stay. When I vacuum the carpet fibers get sucked up a little at a time. Can anyone advise me of the proper way to repair this problem?

How to keep foam backed carpet in place on stairway?

I have urethane backing carpet that I need to install for the stairway. Should I use glue, double sided tape, or use the existing tack stips to hold the carpet in place? Are the tacking strips ok for urethane backing?

How do you remove carpet glue from tile?

We have carpet over tile and I would like to remove the carpet. The glue is yellowish in color and I have not found anything that can remove it. I have a test strip cut out and have tried mineral spirits, goo gone, a few household products.

How do you install carpet in a curved area?

I want to put tile flooring coming in my front door,This tile will be curved after 4 rows. Carpet than will be installed. How do I install the curved portion of the carpet as I can’t use tack strips?Do I fold it over and tack it similar to step runner installation? Do I glue it? If so, what type of glue? Other better methods?

What is the best way to do carpet patching?

I have had a 5 foot archway opened up between two rooms in my house. Both rooms are carpeted, leaving flooring where the wall was. We have built up the floor in the space to match the level of the existing floors in each room. I have remnants from having the carpet installed and I am wondering how to best patch the area. Should I add padding to level off the patch with the existing carpet. Would I use two sided sticking tape or glue? Also, should the remnant be cut a little larger to blend in with existing carpet and then is there a tool to use to help it blend in? Thank you for any assistance.