Hi,
Terminate any installation dialog till it no longer appears.
Next download the latest software below to your desktop:
Double click the file and allow it to extract, than terminate the installation dialog.
Click on Start > Run and type %temp% into the Run dialog, than click on OK.
Open the HP installation folder, it will start with the 7z characters.
Open the Setup folder.
Open the SolutionCenter folder.
Right click the SolutionCenter.msi file, select Repair and follow the steps to repair the software.
Note: if an extention does not appear, hover the file.. its type should appear as Windows Installer File.
Now reboot your PC and try using the HP Solution Center again.
If the same persists, go to Start > Programs > HP > HP Photosmart C7200 and select Uninstall.
Once the removal completes, reboot your PC and run the file from your desktop again to reinstall the orinter.
Hope that helps,
Shlomi