iron out vs straighten out

iron out and straighten out both are verbs.

Word	Noun	Adjective	Verb	Adverb
iron out	No	No	Yes	No
straighten out	No	No	Yes	No

As verbs, iron out and straighten out are synonyms defined as:

Other synonyms of iron out include put right.

iron out (verb)	straighten out (verb)
settle or put right	put (things or places) in order
press and smooth with a heated iron	settle or put right
	change for the better
	make free from confusion or ambiguity; make clear
	make straight
	extricate from entanglement