My daughter was using a rug shampooer. She said that all of a sudden the shampooers power went out. She finnished the job with a different outlet. Then while vacuuming, using a different outlet, the same thing happened. Here is what i have done so far. I have tested the two outlets, neither has current. I have reset the curcuit breakers, by firmly turning them off then on. My home was built in the 50s and I dont have any of those wall outlets with the built in breakers. Both of these outlets are in the same room but on different walls. Just found that two more outlets are out in th same room
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.
As Barry commented, it sounds like you have a GFCI outlet somewhere that you may be overlooking. Don't forget to check any exterior outlets. If this is the case, keep in mind that there are two ways to wire a GFCI outlet. One way only protects the outlet itself, and the other way protects the outlet AND any others that are down line from it.