Answer:
Great Britain:
They mainly just settled it with fighting until they sign the treaty of Paris 1763. That made France give up all of their land to the U.S. settlers.
The Plains Indians:
U.S. signed a document which prevented the U.S. colonies from moving west of the Appalachian Mountains. This was called to Proclamation of 1763. Basically, the Indians were tired of the U.S. taking their land, so every time someone tried to cross over, they would be killed by the Indians.
Explanation:
this is just my basic understanding of it... :p hope it helps