Why won't screen come on

Samsung TV Won Turn On How to Repair Bulging Capacitor for Clicking Noise

https://community.sony.com/t5/Television-General/Red-light-blinks-6-times-tv-won-t-come-on/td-p/47107

Try replacing thermal protector.

Sounds like the main board causing that type of symptom. You can get replacement main boards from www.tvrepairworld.com

tried to check first the power supply if no any sign of bulging electrolytic capacitor this was a common that we encountered trouble.

start by checking the power supply in the set and if not able to do that consider taking it to a shop for an estimate.

replace the power supply board. You can get replacement power supplies from www.tvcircuitboards.com

The lights continually flashing indicate a paper jam or the printer being out of ink. Check/clear any paper jam and verify the ink cartidge is set correctly.

If you turn off the printer and turn it back on, do you get any noises, ie motor noises, or does it instantly go to all lights flashing?
If you get no noises this usually indicates a board fault and you should look for a new printer.

Then I'd say it's a reasonably sure thing that the green light is just burned out, The lights are supposed to be off at first, then red when there's a partial charge, then green when there's a full charge, then flashing between red and green when the "battery saver" kicks in. If you're seeing off, then red, then off, then flashing red, then that means everything in the charging circuit is working perfectly, there's just no green light.