For the check cartridge error:
Gently clean the contacts in the carriage, and on the cartridges with a paper towel or coffee filter moistened with water.
For the poor print quality or missing print:
Perform the Blot Test
Remove cartridge from machine, fold a paper towel back over a couple of times so it is about 4 layers thick, shake cartridge up and down hard, shake it over a sink unless you want to clean ink off the floor.
Now blot the nozzles of the cartridge on the paper towel, for a black cartridge you should see two black stripes, for a color cartridge you should see three colored stripes, if you don't have all stripes the cartridge is clogged or bad.
Have you checked the expiration date on the cartridges you are using?
Are you installing new HP cartridges, or refills?
You may be able to recover a clogged cartridge by swishing the tip in a saucer with a very small amount of warm water, then gently wiping it on a wet paper towel, be gentle the nozzles are delicate.
And do not trust the ink gauge on the PC, cartridges can dry up from the machine just sitting, the cartridges are vented, venting is necessary to let air in so that a vacuum won't develop in the cartridge. get more information and help for
HP Printer Ink Cartridge .