Ensure your device is charged before you follow the steps
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First, go to the main ‘Home’ page on your home screen and open the Settings app. If you just got your tablet, it’s probably near the bottom of the list. Then tap the ‘Security & Privacy category (older models might just say ‘Security’), find the switch for ‘Apps from Unknown Sources,’ and turn it on.
Enable this option here:
We now need download the proper APK files for the Play Store. You technically have to install four different applications — Google Account Manager, Google Services Framework, Google Play Services, and finally the Google Play Store.
Firstly install Google Account Manager
Next install Google Services Framework
Next install Google Play Services
Finally install Google Play Store
Once you have installed all four apps, hold down the power button, tap ‘OK’ to power off, and turn your tablet back on by holding down the power button again. Once it has booted back up, open the Play Store from the home screen and see if it works.
Watch the process in action here: