Unfriendly Persuasion

 is a quest in Fallout: New Vegas. This is a quest given by Marcus, the leader of Jacobstown. Four NCR mercenaries and a NPC named Norton are attempting to instigate a fight between them and the Super Mutants and Nightkin living at Jacobstown.Marcus asks the player to deal with the mercenaries peacefully, although the player is given multiple other options in order to deal with the mercenaries in any manner they see fit.

Quick walkthrough
Marcus asks you to convince some NCR mercenaries to go away peacefully. With 65 speech you can simply ask them to leave and complete the quest. If you are Idolized with the NCR you will have an option to use your NCR reputation to convince them to leave.

If you ask them how much it costs to bribe them they will say 2500caps. You can get the caps from Marcus by asking him. Lie to him and you can get 3000 out of him. If you then use speech to convince them to leave for free you have just earned a mint. Another alternative is to take the money from Marcus, convince them to leave without paying them, keeping the money. Once they start walking away, return to Marcus telling him they are leaving, this ends the quest and you gain XP points. Then, if you return to the mercenaries they should still be slowly walking away. At this point it is wise to save because it could take a few tries. Let them get separated from each other and get spaced apart. Then, load up on Steady, Psycho, Med-X, the standard attack drugs. Now the sneak attack to begins, which means it would probably be a good idea to leave companions behind so they don't up and decide to ruin the attack. Using a Silenced Sniper Rifle with armor piercing rounds, start from the man at the back of the line, crouch down (ensuring Sneak Attack Critical) and take them out one at a time. Do the same for each man up the line, ensuring that the others aren't aware that that man behind him just got his head blown off. During this Sneak Attack, Norton has a tendency of getting way in front, you just have to catch up with him. If you can manage to kill all five of them with one shot each, you can kill all five and not suffer any infamy with the NCR. The only way to do this is with one shot, one kill (which is why saving is important). Once successful, you can loot all five bodies for some serious armor, sniper and plasma rifles.

Detailed walkthrough
First after finding Jacobstown Marcus will approach you with news of New California Republic mercenaries harassing the town. He'll then ask you to peacefully deal with them. When asked why the the mutants don't kill them Marcus says it's to avoid the NCR from having an excuse to terminate Jacobstown.

Finding the mercenaries is relatively easy in that they're directly in front of the town. To resolve the quest you can give them 2500 caps or with a 65 Speech test peacefully tell them to leave. If you have a very high NCR standing you may also be able to tell them that you're an NCR hero, and they'll leave without a speech check or paying them.

A way to get caps and loot but with NCR infamy is to go to Norton (mercenary leader), ask him how much it would cost for them to leave, then go back to Marcus and  to him for Bad Karma and get the 3,000 Caps. Then get in a hidden position (behind them) and take every mercenary out with a silenced weapon, then go to Norton and either convince him to leave (65 Speech), or pay him 2,500 caps. Then head back to Marcus, and tell him you solved it "peacefully". You'll get their loot, (2x Plasma Rifles, 2x Sniper Rifles, Heavy armor, and associated ammo), and the least amount of caps you can recieve is 500.

An alternate way of getting the caps and loot without gaining infamy is to complete the speech task, but then as Norton and the mercenaries are walking away, kill them one at a time while hidden. If the mercenaries bunch up too close to each other, talking to them will stop their walking momentarily.

1. Use a long range suppressed weapon and mines to take them out with sneak attack criticals and explosions (Or just a Silenced Sniper Rifle, head-shot sneak critical will kill them).

2. Take them out head on, Anti-materiel rifle with Armor Piercing rounds recommended.(hardest)

3. Attack them then run to Marcus (make sure he doesn't die, but he has 500HP and 30DT) and the other Super mutant and let them kill the mercenaries. (easiest)

4. Shoot them one after another (headshots or other one-hit-kills) from a position where only the person you're currently killing would be able to see you. It doesn't even have to be a silenced (or scoped, if your manual aim is good enough) weapon; the others will become hostile for a short while, then turn back to friendly/neutral.

After completing the quest you get 350 XP.