To Explore

1. (intransitive, obsolete) To seek for something or after someone.
2. (transitive) To examine or investigate something systematically.
3. (transitive) To travel somewhere in search of discovery.
4. (intransitive, medicine) To examine diagnostically.
5. (transitive) To (seek) experience first hand.
6. (intransitive) To be engaged exploring in any of the above senses.
7. (intransitive) To wander without any particular aim or purpose.
8. (transitive) To seek sexual variety, to sow one's wild oats.

(examine or investigate systematically):

delve into

research