What is the full model number of the laptop?
Try starting the laptop in safe mode (scroll down to method #2 -Interrupt the normal boot process....) and check if there is a display.
If there is then there may be a video driver problem.
If you can't get into safe mode for whatever reason, try a power refresh in case it is a corrupted BIOS that is preventing a normal start.
Disconnect the charger if connected and then remove the battery from the laptop. (seen in 1st minute of video).
Press and hold the laptop's power On button for a full 30 seconds and then release.
Reinsert the battery and connect the charger and try turning the laptop on and check.