I had the same problem with my 48" Jensen LR TV. After running a cable from the BR outlet to the LR TV and from the LR outlet to the BR TV, I quickly figured out that it wasn't an outlet problem. I called Jensen Tech Support and they sent me a new TV. (I'm still under warranty... I also had to get an "expert" technician to confirm diagnosis.) TV in LR works great now!
2016 F350 CCSB 6.7L
2017 Silverback 33IK