Summary: The Compromise was five separate bills that U.S. Congress passed on January 29, 1850. This Compromise included California as a free state with no slavery allowed, slave trade banned in the District of Columbia, New Mexico granted territorial status, and the Texas boundary settlement with the state being paid for lost lands. Also, the Fugitive Slave Act was included which said that any slave who escaped from one state to another would be returned to their owners. All of these bills were signed by Millard Fillmore.
Northern Perspective: The Northern States gained the most because of this Compromise so for the most part they were happy with California being admitted to the Union as a free state, slave trade outlawed, and the territories and Utah and New Mexico getting to decide whether to allow slavery or not. However, they did not agree with the Fugitive Slave Act where people in free states were encouraged to assist in capturing slaves. The Northern States were against slavery so they did not like this part of Compromise.
Southern Perspective: The Southern States were somewhat pleased with this Compromise mainly because of the Fugitive Slave Act which stated that all escaped slaves even across states must be returned to their owners.