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That screen indicates that either the software of your phone has corrupted or the internal board has failed. To make sure this is not an hardware issue, lets restore it from your computer using the Windows Recovery Tool.
If this is a Windows 8.0/8.1 or Windows 10, then on your computer download the Windows Recovery Tool from here --> http://go.microsoft.com/fwlink/?LinkID=525569
Install it, connect the phone to your computer with the USB cable and follow the onscreen instructions to recover it.
If you are using an old Nokia Lumia phone, then download the Nokia Recovery tool instead from here --> http://go.microsoft.com/fwlink/?LinkID=525568
This application will allow you to restore the software of your phone.
Please let me know how it goes.