A Business Discussion is a main quest in Dragon Age II that takes place during Act 1.
During this quest Varric and Hawke discuss their options for obtaining the location of a suitable path into the The Deep Roads.
Acquisition
This quest becomes available after Hawke's first encounter with Varric in Hightown.
Walkthrough
Travel to the Hanged Man, a pub in Lowtown, and speak with Varric. He will inform Hawke that they need a suitable entrance into the Deep Roads and that a Grey Warden who recently arrived to Kirkwall from Ferelden with the other refugees might know of one. The quest is completed after the conversation between Hawke and Varric is over.
Companion Reactions
Depending on the tone of your final dialogue choice Varric's approval will change as follows:
Cautious (top choice):
Charming/Humorous (middle choice):
Aggressive (bottom choice):
Result
Unlocks the main quest, Tranquility.