No boot chime, no image on LCD, no image on external display
When powering on my MacBook, the power light turns on and the Superdrive and hard drive start. The screen flashes once and then goes dark. There is no boot chime and nothing else seems to be happening. The display is completely dark and blank. There are no barely visible icons or anything. I took it to the Apple store and they connected an external display to it, but there was no signal to the display. After some random fiddling (opening/closing the laptop display lid, restarting it) it magically came back to life. With the LCD working they moved the display lid back and forth and noticed the screen flickered once, but didn't continue flickering with more movement of the display. I took the laptop home and it continued working for a week, but it started rebooting itself occasionally. The rebooting usually happened when the case was lifted on the left rear side. Is this a bad inverter cable or inverter board?
Note: ABCellars' suggestion to test the RAM and RAM slots fixed my problem. See his comments inserted below machead3's answer. Thanks ABCellars! If you can post your response as an answer, I'll accept it!