According to the research I’ve done. The HP Pavilion a6547 c motherboard does have a PCI Express x16 expansion slot which is what the Nvidia geforce 430 video card requires. You can see my results on the following links.
http://h20000.www2.hp.com/bizsupport/TechSupport/Document.jsp?objectID=c01486307&lang=en&cc=us&taskId=101&contentType=SupportFAQ&prodSeriesId=3733085&prodTypeId=12454
http://www.guru3d.com/article/geforce-gt-430-review/