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As I understand the HP OfficeJet printer got shut down after replacing the cartridges, Don't worry as I have a few steps to help you get through this concern,
Please make sure that the printer is connected directly to the wall outlet and not to the surge protector.
Remove all the ink cartridges and then try to perform a hard reset on the printer.
With the printer turned on, disconnect the power cord from the rear of the printer and also unplug the power cord from the wall outlet.
Remove USB cable, if present.
Wait for 2-3 minutes, press and hold the power button on your printer for about 30 seconds to remove any additional charge.
Now plug back the power cable straight to a wall outlet without any surge protector or an extension cord and then plug back the power cord to the printer.
Turn on the printer and wait till warm-up period finishes and the printer is idle.
Now insert the ink cartridges and then try to print a test page and check if it works.
If the issue persists, I would personally suggest this could be a hardware failure. I would recommend you contact our HP phone support for available service options. If your product is out of warranty, please choose paid options to get the tech support number.
Please use the following link to create yourself a case number, then call and it may help speed up the call process: