The Dell tech had me remove a bunch of things. 

1.  He had me remove the battery and reseat  (I think that is the term he used) 2  rectangle chips of some kind. I had to unscrew and remove a cover from the back.  That didn't fix anything. The computer still wouldn't turn on.

2.  He had me connect my desktop monitor to the laptop and press Fn and F8 together. Nothing appeared on my desktop monitor ( yes it was on because I never turn it off).

3. He had me remove the battery, remove those 2 rectangle chips, disconnect the small cable from the 1"x1" square plastic covered thing that was next to the 2 rectagle chips, and remove my CD drive.  Again, that ddn't fix it either.  Still had the same result when I pressed the on/off button.

4. He kept asking me to make sure the AC adapter had a green light, which it did.

After doing all of those things he put me on hold and came back and told me that based on all of the trials we had done, that the only other possibility was the motherboard, and then broke the news to me that my hardware warranty was expired, informed me that I would be getting an email asking how the service was, and that despite my hardware warranty being expired, I can still telephone them for tech support.

"It is good to see ourselves as others see us. Try as we may, we are never
able to know ourselves fully as we are, especially the evil side of us.
This we can do only if we are not angry with our critics but will take in good
heart whatever they might have to say." - Ghandi