Chosen Solution
My Kindle Paperwhite battery was down to about 1/4, so I plugged it in to recharge. When I went to check on it a couple hours later, it gave the “out of battery” symbol (battery with an exclamation point in the middle). I tried a hard restart with it plugged into the wall, but all it does is light up for a couple seconds, then give me the same “out of battery” symbol. The battery seems to have drained instead of charging. Is this fixable, or is it just time to throw this unit away and get a new one?
You do not need to throw it away, as you can replace the battery pretty easily. The battery is probably the problem here, not the other parts of the kindle. I will provide an iFixit guide for you as well as a link to a replacement battery below. However, the battery is not sold by iFixit and I cannot guarantee it will work. Replacement guide Replacement battery
I also have had this problem, I charge it overnight and in the morning it is completely discharged and showing the battery thing. The battery is NOT bad, there’s just no charge in it because the Kindle does something weird. I have fixed it in the past by using other chargers and after a bit cycling the power a couple of times. It eventually starts working again, you just have to out stubborn it. This is probably the fifth time I have had it do this.