Switching from home premium to Enterprise will not make your computer run faster. A core i7 should run like a hound but I guess HP bloatware makes sure it doesnt. I would suggest to start with, uninstall all HP crap, defrag the hard drive and run CCleaner (both regular and registry once).
If its still slow, do a clean install of the same edition i.e. home premium and activate using the COA sticker key.