That looks interesting since the text and the lines of the boxes are being printed. But maybe that is not real black but some mixing. No idea. However, yellow looks to have problems too. I suggest first to check the catridges, if ink is remaining and replace if needed. Start the head cleaning in your software. Sometimes it takes several times to see progress of the cleaning.
To recheck my answer, I made a search on google and found exactly this answer in a HP Forum.
The text and the boxes itself are really printed with a mix of all colors (for the black is not working, so you can read something). Try head cleaning a few times and you should get a result.
Here the Link to the HP Forum Post (unfortunately in german):
https://h30492.www3.hp.com/t5/Drucker-und-AiO-Nutzung/HP-Photosmart-5520-druckt-kein-schwarz/m-p/505090#M104243