I think the place to start here is with a reset (we'll assume it's already been tried but...)
Remove battery and power adapter, with no power to the laptop, press and hold the power button for ~30 seconds. Put the battery back in, plug in power adapter and attempt to power on, see where you get.
Assuming that's been tried and didn't work, I'll suggest removing one stick of ram and trying. If still nothing, swap the ram and try with the other stick.
Report back on where you get - there's more to check before writing off the laptop