A Clean Equation

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

 * 1) Eliminate the Brotherhood Patrol
 * 2) Report back to Predictive Analytic Machine

Detailed walkthrough
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.

Bugs
Even if the player is not hostile with the Brotherhood of Steel after finishing the game, P.A.M will give them the quest.