Ok, so unplug the adapter from the wall, and unplug it into two pieces, set it aside.
Now, flip the laptop over, and take the battery out. Turn it back over, and hold down the power button for at LEAST 60 SECONDS (count it out!)
Now, put the battery back in. Put the adapter back together and plug it into the laptop. Now plug into the wall. Try it. If the power light still flashes once, then you have a failing MotherBoard, and since you have already said you are not a tech, take it to a tech, as the only steps left are isolation steps to see what is failing, and those steps could do more damage to the laptop if not performed correctly.