To communicate on a matter of disagreement between two parties, with a view to first listen to the other party's perspective and to then attempt to arrive at a resolution by consensus
To treat with another respecting purchase and sale or some business affair; to bargain or trade; as, to negotiate with a man for the purchase of goods or a farm
If you negotiate an area of land, a place, or an obstacle, you successfully travel across it or around it. Frank Mariano negotiates the desert terrain in his battered pickup I negotiated my way out of the airport and joined the flow of cars. = navigate
Negotiate refers to the process of conferring with another party so as to arrive at a settlement of some matter