HP system BSODs after you update Service Pack 3.  Windows is not the problem with this, it actually is based on how the system was built. HP uses a common image to build there systems but machines with a Z in the model are based on AMD chips.  When you upgrade if a intelppm file exists and it is enabled in the registry the system could BSOD.  Here are some things to try  I found this suggestion on many boards one of them was http://www.techsnack.net/how-to-solve-windows-blue-screen-after-upgrade-tp-xp-sp3

1. Restart computer and press F8 key repeatedly until Windows Advanced Options Menu appears.
2. Choose Safe Mode.
3. Browse to C:\Windows\System32\Drivers.
4. Find a file named “intelppm.sys” and rename it to “XXXintelppm.syx“.
5. Restart.

The problem should be fixed and you will no longer get the same error message.

Jasper's Blog has a tool to fix this problem before you run the update check it out.