If your phone is less that 1 year old and has not been rooted then you can return it and the phone will be covered by the factory warranty. Contact ZTE.
I would try the suggestions posted by MLSS 1st as far as a different charger or a different battery before sending it to the factory.
If you have any other questions regarding your device, I invite you to join Android Forums. We have many sections for specific devices which contain a wealth of information.
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