bathing machine vs bathhouse

bathing machine and bathhouse both are nouns.

Word	Noun	Adjective	Verb	Adverb
bathing machine	Yes	No	No	No
bathhouse	Yes	No	No	No

As nouns, bathing machine and bathhouse are synonyms defined as:

bathing machine and bathhouse: a building containing dressing rooms for bathers

bathing machine (noun)	bathhouse (noun)
a building containing dressing rooms for bathers	a building containing public baths
	a building containing dressing rooms for bathers