equal vs equate

equal is a noun but equate is not a noun.

Word	Noun	Adjective	Verb	Adverb
equal	Yes	Yes	Yes	No
equate	No	No	Yes	No

As verbs, equal and equate are synonyms defined as:

Other synonyms of equal include equalise, equalize, match.

As verbs, equate is a hyponym of equal; that is, equate is a word with a more specific, narrower meaning than equal:

equal (noun)	equate (noun)
a person who is of equal standing with another in a group

equal (adjective)	equate (adjective)
having the same quantity, value, or measure as another
having the requisite qualities or resources to meet a task

equal (verb)	equate (verb)
make equal, uniform, corresponding, or matching	make equal, uniform, corresponding, or matching
be identical or equivalent to	consider or describe as similar, equal, or analogous
be equal to in quality or ability	be equivalent or parallel, in mathematics