wall outlet dead, no power to outlet
Sounds like you have a bad connection that finally burned in half from the high current draw of the shampooer and almost burned in half in another spot but was finished by the vacuum. 

You need to trace the circuit(s) back to the nearest working receptacle and check the wiring from that point on to your non-working ones. Take apart your junction boxes and device boxes and check all connections for mechanical tightness and electrical continuity. Don't forget to shut off the breakers controlling these circuits before tearing into it.

Good luck!