I have an assortment of spare breakers on hand so I don't need to go to the store to buy one. But that is just me and I tend to have spares of a lot of things in the house and in the garage. Anyway, I am just rambling and that is neither here nor there as far as this circuit breaker tripping thing is concerned.
The thing is, as you read over what the opening poster said it tends to make me think that the breaker went bad. He said that when he plugged in the appliance, the breaker tripped. After that, it trips all the time even with nothing plugged into the outlets the breaker feeds. If everything worked just fine until he plugged in that one appliance and now the breaker trips for no apparent reason, it makes me think the appliance has a problem, it drew too much current and the breaker just happened to trip and fail at that time.
I could be wrong, I am not an electrician and I am only guessing, but to me that is what it appears to be from reading everything in this thread.