Let's try a common reset. I have it in full on the laptop forum but short version is "power off, remove charger, battery then press and hold the power button for 60 seconds. Release, slip in battery, apply charger and test."

If still no screen then the laptop needs repair.

At 5 years old be sure to replace the CMOS battery as low batteries can cause this as well.

White button? Back to the maker for a service manual.