Thank you for trying.
Unfortunately this indicates a hardware problem,
specifically, it is the result of a bad printhead (or the logic board that controls it).
The head is a "wear item" that fails with age/use. As this is a 2012 model printer, it is well past its 3 year service life, so this type of failure is not surprising.
While it can be fixed, it is not worthwhile to do so. You would have to, at a minimum, replace the printhead, which costs about $150; if the logic board is bad you’re looking at $200-250. For $80-100 you can replace the entire machine with a brand new model, with current technology and a fresh warranty, which makes more sense than buying the new part for an older printer.
If looking for a replacement, I’d recommend any of the Epson workforce series printers. They tend to be very reliable, are easy to set up and use, have good print quality, and reasonably priced ink. Example: http://amzn.to/1F4fCYC or http://amzn.to/1NYUF1P
Note that these, like all consumer grade inkjet printers, are designed to be low cost and are essentially disposable after a few years, subsidized by the high cost of ink cartridges. If you wish to have a better quality and longer lasting printer, that comes with years worth of ink up front, consider the Epson ecotank models instead: http://amzn.to/1PpOj0C
Alternately, for a more business/commercial grade product that will be rated for a 5 year life, consider a laser printer. Lasers cost more up front also, but a toner cartridge can last for thousands of pages. A black only all in one laser is around $125: http://amzn.to/1JSHOlQ
while a color model is about twice that: http://amzn.to/1n4I7Q5
I am an independent technician and I've spent my personal time, unpaid, in an effort to assist with the question for which you solicited my services. This site works on the honor system, and to that end, I have prioritized working with you ahead of other paying customers.
Although you’ve already paid your fee to the site, I am only compensated for my efforts when customers such as yourself leave positive feedback for my work. Again I apologize there is not a better outcome here, though this is really beyond either of our control. I do hope you’ll consider leaving a 5 star rating for me, rather than “shoot the messenger”, so that I may get credit for my time spent in good faith to answer your question accurately.