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Did the new Anniversary Update for Windows 10 run before this happened?
Is the audio driver that you installed V188.8.131.5231?
Sorry if they may sound like a silly question but, did you verify that the headphone jack was removed or hit "fn + F12" to make sure the audio was not muted?
Ok. Can you click on the search bar near your Start button and type Device Manager. Click on Device Manager. Under the Device Manager there should be a section for "Sound, video and game controllers". Find the Realtek device and double click on it. Let me what the device status says.
Right click on the Realtek and click Uninstall. Reboot the laptop and it should try to reinstall it again. Let's see if that helps.
You've pretty much done everything that can be done on the software side. The driver status shows that the audio card is working but the speakers or the connection to the speakers may have failed. Did you buy this at a store locally?
I would still take it back to them and have them fix it or replace it. They are probably going to try to fix it so they don't have to return it. I'm willing to bet that the speakers failed. They could've been defective even though they worked for a short period of time.
It sounds like you've already done everything else short of reloading it but I wouldn't do that if you just got it yesterday. The store should honor the return policy.
Just checking in to see if you need anymore assistance. Let me know.