There is a solution when you can't get your chromebook to power on.
Many times its when the charge is out.
But in this case when you have the charger plugged in and you can't power on or has a full charge it becomes a problem to power on your chromebook.
Plug in the charger to your computer.
Hold down the esc+refresh(near right arrow key)+powerbutton(looks like a lock sometimes) for about 5 seconds.
Make sure you see the red light come on where it says thinkpad to confirm there is life in your chromebook.
You will see a white menu screen, press the power button again to shutoff.
Then press the power button again to turn on and you should see your normal screen with the accounts.