Black ink not printing properly

Try taking out the printhead and let it soak in "window cleaning" solution overnight or for about 8 hours. It should unclog the printhead nozzle. Put it in about half inch of the solution. It always worked for me. Make sure you wipe it dry un the back of the printhead when putting back into the printer.

From the user guide:
Cartridge Error (1102, 1203, 1204, or 120F)
1 Remove the print cartridges, and close the cartridge carrier lids.
2 Close the scanner unit.
3 Disconnect the power cord from the electrical outlet.
4 Reconnect the power cord to the electrical outlet.
5 If the button is not lit, press .
6 Reinsert the print cartridges and close the cartridge carrier lids.
7 Close the scanner unit.
If the error does not reappear, the problem has been corrected.
If the problem reappears, one of the cartridges is not working properly. Continue with the following procedure to
determine which cartridge is not working properly.
1 Remove the print cartridges, and close the cartridge carrier lids.
2 Close the scanner unit.
3 Disconnect the power cord from the electrical outlet.
4 Reconnect the power cord to the electrical outlet.
5 If the button is not lit, press .
6 Reinsert the black (or photo) print cartridge and close the cartridge carrier lid.
7 Close the scanner unit.
8 If the error:
• Reappears, replace the black (or photo) print cartridge with a new one, close the cartridge carrier lid, and close
the scanner unit.
• Does not reappear, reinsert the color print cartridge, close the cartridge carrier lid, and close the scanner unit.
9 If the error reappears, replace the color print cartridge with a new one, close the cartridge carrier lid, and close
the scanner unit

It looks to me that your non Canon cartridge has blocked the print head. I see this all the time. Remember the compatables are not pigment based but just watered down ink so you can get it to flow through a syringe into the cartridge. This however is the classic outcome of trying to save a few pennies on an expensive bit of kit!

Use the HP Printing Assistant software to run a few "print-head-cleaning-cycles".
The BLACK ink-jets are CLOGGED. So, no ink from any of the 3 different cartridges reaches the paper.

HP Print Diagnostic Utility was created to help users troubleshoot and correct many common problems on Windows-based computers that can prevent printing.Follow the on-screen instructions to run the utility. Details and specifications File name: HPPDU.exe [1/1, 1.54M] System requirements: No additional prerequisites Released: 2010-08-13 Version: 3.0.0.013 Compatibility: Microsoft Windows Vista, Microsoft Windows Vista Home Premium (32-bit), Microsoft Windows Vista Home Basic (32-bit), Microsoft Windows Vista Business (32-bit), Microsoft Windows Vista Ultimate (32-bit), Microsoft Windows 7 (32-bit), Microsoft Windows 7 Home Basic (32-bit), Microsoft Windows 7 Home Premium (32-bit), Microsoft Windows 7 Professional (32-bit), Microsoft Windows 7 Enterprise (32-bit), Microsoft Windows 7 Ultimate (32-bit), Microsoft Windows 7 Home Basic (64-bit), Microsoft Windows 7 Home Premium (64-bit), Microsoft Windows 7 Professional (64-bit), Microsoft Windows 7 Enterprise (64-bit), Microsoft Windows 7 Ultimate (64-bit), Microsoft Windows 7 (64-bit), Microsoft Windows Vista (64-bit), Microsoft Windows Vista Home Basic (64-bit), Microsoft Windows Vista Home Premium (64-bit), Microsoft Windows Vista Business (64-bit), Microsoft Windows Vista Enterprise (64-bit), Microsoft Windows Vista Enterprise (32-bit), Microsoft Windows XP Fix/Enhancement: This version of the HP Print Diagnostic Utility provides an improved user interface in multiple languages, improved diagnostic and problem resolution capability, and support for usb and network connected devices.

Ink level counter (program) didn't read actually ink at ink tank. Brand new cartridge ink level counter 100% (full), and ink 100% (about 10 ml). After may printing, ink will dry out, and ink level counter reach zero (ink out). Printer will not allow print anymore, even have refilled, because ink level read "ink out". For canon type, you just to release ink level counter, and counter just stop, but printer will allow to print. Press stop/reset button for about 30 second.

Try this:

The HP all-in-one product will print black copies using both the color and black cartridges to create composite black in Normal and Best modes. This is necessary to create the correct grayscale shades.

1. The color cartridge may be out of one color of ink. Perform the steps in the 'Colors are not correct' section above to verify that the ink cartridges are not low on ink.
2. Verify that the correct paper type is selected in the Paper Type setting.
3. Some photo paper has different chemical characteristics than Hewlett-Packard paper. The HP all-in-one is designed for use with HP Premium and Premium Plus Photo Paper. The photo paper, paper-type setting should be used with HP Photo Paper. For other paper brands, it may be necessary to use the plain paper or premium Inkjet paper, paper-type settings.

OR: The ink cartage you have may be defective if is a refilled or recharged cartage.

Hi,
I'm sorry you are having problems with your Lexmark printer.

Please ensure you are using the correct cartridge.

X3350:
Black 32
Color 33

X5470
Black:28
Color: 29

If you are using the correct cartridge for your machine you can try to do the following:

Cleaning the print nozzles: (X5470)
1 Load plain paper.
2 Press Copy Mode.
3 Press .
4 Press or repeatedly until Tools appears.
5 Press .
6 Press or repeatedly until Maintenance appears.
7 Press .
8 Press or repeatedly until Clean Cartridges appears.
9 Press .
A page prints, forcing ink through the print cartridge nozzles to clean them.
10 Print the document again to verify that the print quality has improved.
11 If print quality has not improved, try cleaning the nozzles up to two more times.
Wiping the print cartridge nozzles and contacts:
1 Remove the print cartridges.
2 Dampen a clean, lint-free cloth with water.
3 Gently hold the cloth against the nozzles for about three seconds, and then wipe in the direction shown.
4 Using another clean section of the cloth, gently hold the cloth against the contacts for about three seconds, and
then wipe in the direction shown.
5 With another clean section of the cloth, repeat step 3 and step 4.
6 Let the nozzles and contacts dry completely.
7 Reinsert the print cartridges.
8 Print the document again.
9 If the print quality does not improve, clean the print nozzles. For more information, see “Cleaning the print
cartridge nozzles” on page 92.
10 Repeat step 9 up to two more times.
11 If print quality is still not satisfactory, replace the print cartridges.
If you are still getting the incorrect cartridge message it would be best to return the cartridge and exchange it for a new one.
Thanks
Catherine

Print nozzles will be at bottom of cartridge...Make sure that u do not wet copper contacts ... first try using dry paper towel and check where ink comes and follow the procedure given below....

Cleaning procedure

1. Remove the print cartridges.
2. Moisten a clean, lint-free cloth with water.
3. Gently hold the cloth against the nozzles for about three seconds, and then wipe in the direction shown below.
4. Using another clean section of the cloth, gently hold the cloth against the contacts for about three seconds, and then wipe in the direction shown.
5. With another clean section of the cloth, repeat steps 2 through 4 above.
6. Allow the nozzles and contacts to dry completely.
7. Reinsert the print cartridges.
8. Print the document again.
9. If the print quality does not improve, repeat the steps for cleaning the nozzles and contacts up to two more times.
10. Check the warranty and try to get replaced