How can I charge my Kindle Fire? It won't charge on a plug-in or the computer - why?

James, You have to make sure the Kindle is charged, try holding the button longer, maybe even up to a minute, hopefully that will do it. Check the attached links,instruction and guides, Good luck
"I hope this helped you out, if so let me know by pressing the helpful button. Check out some of my other posts if you need more tips and info." You can also do a search on google for this issue, seems there is a lot of info. on this problem.
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Lillian, May have to try hard reset or possibly repair charge port to get battery to start charging. Check the attached links,instruction and guides, Good luck
"I hope this helped you out, if so let me know by pressing the helpful button. Check out some of my other posts if you need more tips and info."
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Armend, Could be a bad charging port. Press and hold on button for 15-20 seconds a couple times to see if it will reset and power up before trying anything else. Check the attached links, videos,instruction and guides on kindle charging problems. Good luck
"I hope this helped you out, if so let me know by pressing the helpful button. Check out some of my other posts if you need more tips and info."
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Antonia, Check the attached links,about charging problems.
"I hope this helped you out, if so let me know by pressing the helpful button. Check out some of my other posts if you need more tips and info."
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Ruby, try pressing and holding on button or you will have to reset.
Check the attached links,
"I hope this helped you out, if so let me know by pressing the helpful button. Check out some of my other posts if you need more tips and info."

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Patricia, Using the power switch, you can forcibly reset your Kindle device. This reset will shut down the Kindle without accessing the shutdown command from within the Kindle's operating system, a particularly useful tool when dealing with a frozen Kindle. To initiate a hard shutdown, Kindle disconnect from its charger, slide and hold the power switch for about 20 seconds. This will force the Kindle to shut down, now it can be restarted normally.
Check links below for charging problems.
"I hope this helped you out, if so let me know by pressing the helpful button. Check out some of my other posts if you need more tips and info."
Reset Kindle Fire When it Won Turn on or Charge

Troubleshooting Kindle Fire That Won Charge

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It could be the charger itself. Try taking the USB cable out of the charger and plug it into your computer, then plug in the Kindle. Your computer's USB port should be able to charge it. If it still doesn't charge, you might have a bigger issue with the tablet itself.

Her is a possible solution:
1. Plug into the original charger, hold the power down for a full 30 seconds, release. Let charge in this state for 12 hours.
2. Lease the device plugged into the charger, while you have the device plugged into power, press the power button for a full 40 seconds, release. Wait for 5 seconds and then press and release the power button. Did the device wake up? No, continue to step 3.
3. Plug the device into another charger, if you do not have an charger from another phone go to Staples or Radio Shack pick up a new Kindle or Universal charger, make sure you can return the charger.
4. Plug the Kindle into the new or alternate charger. Hold down the power button for 30 seconds release. Let charge for 12 full hours.
5. Unplug the Kindle from the charger.
6. Press the power button for 40 seconds - time it. Release the power button, wait for 5 seconds, then press and release the power button. The Kindle should wake up. If not, proceed to step 7.
7. If you can not wake up the Kindle from a 'hard reset' the Contact Amazon directly for a replacement.

You may need a new power cord or it is possible that your Kindle Fire's battery has died. If you noticed the battery life diminishing before it wouldn't charge this may be the case. Here is a site that has replacement batteries for the Kindle Fire:
3555A2L Battery for Amazon Kindle Fire D01400