In order to resolve the error, perform the following:
Open up the "Settings" app on your android device, then navigate to "Application manager".
Find "Google Play Store" on the list (should be alphabetical) and tap it.
Tap the "Force stop" button and confirm to close the application.
Tap the "Uninstall updates" button and confirm. This will take the Play Store back to the factory version.
Open up the Play Store and accept terms & conditions.
You should now be able to install applications without the DF-BPA-10 error.