How to repair broken drywall (gypsum exposed)
If just the paper on the surface is broken you can fill the gouge and paint over it. If the sheetrock is broken and falling off it is better to cut a section out. I find the closest stud on either side and cut the sheetrock down the center of the studs, cut a new piece to fit and screw it in at the edges of the new piece and the original area cut off then tape &amp; texture to match and repaint.