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 walkthroughEdit

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

Detailed walkthroughEdit

1. Eliminate the Brotherhood Patrol

Your Pip-Boy will have been updated with the location of the Brotherhood Patrol (they are different random locations). Travel to that location and eliminate the Brotherhood Patrol however you see fit. A patrol consists of 3 Brotherhood soldiers of variable ranks.

2. Report back to Predictive Analytic Machine

Return to P.A.M. at the Railroad HQ. She will congratulate you on a job well done and give you 130 bottlecaps.

Quest stagesEdit

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 finishedIcon checkQuest completeWith one more piece of the Brotherhood dismantled, our lives become a little safer.
9000Quest failedIcon crossQuest failed


  • pcIcon pc xboxoneIcon xboxone ps4Icon ps4 Even if the player 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]
  • pcIcon pc ps4Icon ps4 It is possible for the Brotherhood Patrol to die before the player 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]

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