The first thing you need to note is that sliding glass doors usually have dual pane windows, making them a bit difficult to repair. Start by releasing the broken pane from the tape that holds it to the door frame. Use a utility knife to slice the tape from top to bottom. Next, push the glass gently and ease it out at an angle. Remember to keep the gray rubber settings to help in stabilizing the new glass pane. Spray the tape with a window cleaner. Gently put the new glass into the frame. Make sure it is centered. Finally, reinstall the plastic stops.