Your TV has clearly been impacted by something in the lower-left corner. Cost of replacing the panel (parts + labour) will be more expensive than replacing the set.
Your HDTV is a total loss caused by abuse, a physical impact to the screen which has broken the glass substrate used for the LCD cells. It is not economicly repairable because of the cost of the panel which is about 70% of the HDTV and most often unavailable.
You may be able to make a homeowner's insurance claim. Decide if that is wise before doing so.