I installed hplip, and then attempted to set up my printer using a variety of methods including the built-in printer app, the HP device manager, the system-config-printer command, and the CUPS web interface. None of these have been successful, as, without fail, the computer will send a page to be printed, the printer will say it is printing, and then it does not print anything. The printer will say the job is completed, the computer says the same, and yet there will be no noise coming from the printer, and no page will come out.
According to the official HPLIP-Database your printer needs HPLIP version 3.14.10 or newer.
Unfortunately elementary OS supplies HPLIP 3.14.3 by default, which does not support your printer.
You will need to install a newer version of HPLIP (choose Ubuntu 14.04 as distribution).
Please create a backup of your system before installing a third-party Application, just in case something goes wrong.