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A Clean Equation is a Railroad radiant quest in Fallout 4. It requires the Sole Survivor to go to a random location and eliminate a Brotherhood patrol.

Quick walkthrough

Railroad radiant quest: A Clean Equation
Eliminate the Brotherhood Patrol.
Report back to P.A.M.
Reward: 75+ XP
130 caps

Detailed walkthrough

The Pip-Boy will be updated with the location of a Brotherhood patrol at a random location. Travel to that location and eliminate the Brotherhood patrol through whatever means necessary. A patrol consists of 3 Brotherhood soldiers of variable ranks.

Return to P.A.M. at the Railroad HQ. She will congratulate the player character on a job well done and give out a reward of 130 bottlecaps.

Quest stages

Quest stages
StageStatusDescriptionLog Entry
100 Eliminate Brotherhood patrolEven with the Prydwen destroyed, Brotherhood stragglers are a threat to the Railroad. PAM has spotted a surviving patrol. It's my job to deal with them.
200 Report back to P.A.M.One Brotherhood patrol eliminated. PAM will need details for her calculations.
300Quest finishedQuest completeWith one more piece of the Brotherhood dismantled, our lives become a little safer.
9000Quest failedQuest failed


  • PCPC Playstation 4Playstation 4 Xbox OneXbox One Even if the player character is not hostile with the Brotherhood of Steel after finishing the game, P.A.M will assign them this quest. It also shares this bug with another radiant quest, High Ground which P.A.M. can also assign. [verified]
  • PCPC Playstation 4Playstation 4 It is possible for the Brotherhood Patrol to die before the player character reaches them, which does not fail the quest but will seemingly cause it to break. There is no apparent way to complete A Clean Equation should this happen, though P.A.M. will dispense new quests. [verified]