From what I can tell from the HP spec pages for your PC, you have only PCI-e x1 expansion slots. This alone limits you to cards such as those in the link below. You would have to confirm they will physically fit in the PC. The stock 220 watt power supply may be at issue also and may require an upgrade as well.
Newegg.com - Computer Hardware,Video Cards & Video Devices,Desktop Graphics / Video Cards,PCI Express x1
Newegg.com - Computer Hardware,Video Cards & Video Devices,Desktop Graphics / Video Cards,PCI Express x1