Are you installing a new Dell ink cartridge? or are you using a refilled or remanufactured cartridge? 

 

If you are using a new Dell cartridge, make sure the protective plastic strip has been removed and that it is being installed correctly.  If it still won't work, it may be a bad cartridge and you will have to contact Dell for a replacement.

 

If it is a refilled or remanufactured, it may still be defective and you are on your own with those.

try reseating the power brick at the back of the printer for 10 secs. And try cleaning the gold metal thing at the back of the ink cartridges with a clean dry cloth or papel towel. Are you using Dell branded inks?