The Final Countdown

To unlock this achievement, the player must convince Hugh Darrow to hand over the Hyron deactivation codes at Panchaea.

He'll start a monologue, and the dialogue afterwards offers 3 options. Choose critique, extrapolate, extrapolate, extrapolate again. Darrow will give a monologue again and then give up the codes, the achievement should be unlocked.

If you have the Social Enhancer you can pick critique, critique, then use the pheromones and pressure option on his omega personality type.