They agreed on popular sovereignty as a solution to deciding the role of slavery in the new territories because there were three groups with different views and each wanted different things. A group wanted to abolish slavery from the new territory, another wanted the continuation of slavery and the last were indifferent about the presence or absence of slavery.
This made the states to determine on its own on what it wanted for its region and people.
Carter wanted to drop the atomic bomb on China when North Korea tried taking over the south of Korea. The u.S got involved in the war and pushed North Korea all the way to China
