You could have a problem.
Here are the processors supported on your laptop:
Look under "product features" here: HP Support document - HP Support Center
Now for the problem. These processors come in two socket versions: either they are soldered to the board, or not.
If they are soldered to the board, you cannot upgrade anything.
If they are not soldered, then it may be possible.
I have chosen the two fastest for comparison. Look under "package specifications" here: Intel® Product Specification Comparison
The BGA socket means the processor is soldered to the board and cannot be changed.
So, you need to determine what socket you have before you can go forward.
Any upgrade processor must be socket, BIOS, and chipset compatible. Only the manufacturer (HP) can tell you what their bios supports.
In my opinion, with a laptop this old, you would do better to replace the laptop with a new or newer model.
This message was posted on behalf of Intel Corporation
Thank you, Al Hill for the information you provided.
Leon., As Al mentioned, the best source for you to get compatibility information is the manufacturer since you have to consider the socket of the mainboard and also the BIOS compatibility.
Please don't hesitate in contacting us back if you need further assistance.