When I get such laptops, I first give the batteries a good charge using an external battery charger (In this case I would remove the battery from the laptop and attach to my shop charger).
While the battery is charging I would check the output voltage of the wall charger. If bad, replace.
Once I have a fully charged battery, I would reinstall the battery.
Connect a known good wall charger.
Boot-up the laptop and check if it is charging.
If not, I check the DC-IN socket on the side of the laptop. If good, then I suspect the motherboard is at fault.
Might be worth taking the laptop to a tech that can perform such testing. Then determine whether you want to put more money into it's repair.
Good Luck
G752VSK, G75VW-3D, G51J, G1S
Homebuilt Windows Server