Hello there chasmwhite. First of all, you are not in the correct section as this is a laptop. But I'll give you standard procedure for figuring out your issue.
I'll assume you do not have any boot? As in no lcd movement at all (check this with a flashlight), no beeps, etc? If yes then try this:
First of all, unplug the ac adapter and remove the battery. Then wait at least 5 minutes. Afterwards, reconnect the ac adapter, and start the laptop again. If the picture appears, the issue was a bad software issue.
If there is still no boot, then try this next step: Connect your VGA or HDMI slot to an external monitor. If the picture appears, then your issue is the screen (lcd) itself. If not, then the issue is on your motherboard.
These...