Outlets not working in laundry room. GFCI nonreactive. What should I do?
Other outlets may be connected to load terminals of GFCI's - and depending on your layout, that may not be the one in the laundry room. Or it may be the one in the laundry room, and its failure to reset either means there is a fault, or that it has failed. If anything is plugged in to any of the outlets, try unplugging it before you try resetting again.

It is certainly possible (not what I would do, but possible) to have two GFCIs where one is fed from the load terminals of another, and the other is not in an "obvious" location to the items disabled by it.

It's often worth switching the correct breaker manually "off" and back on, as trips are not always as obvious as we would hope.