Things That Go Boom

 is a quest in Fallout: New Vegas.

Quick walkthrough

 * 1) Visit Ambassador Dennis Crocker at the NCR embassy
 * 2) Travel to Nellis Air Force Base and ask Pearl how you can help the Boomers
 * 3) Complete enough Boomers side quests to become idolized by the Boomers
 * 4) Return to Crocker at the NCR Embassy and report that the Boomers have pledged their support

Not yet idolized by the Boomers

 * 1) As you are walking the New Vegas Strip, someone will approach you and ask you to visit Ambassador Dennis Crocker at the NCR embassy. The embassy is in the last section of the Strip (farthest from the North Gate). Crocker is in the building on the left once you enter the front gate. Once inside, go through the door on your left to the end of the hall to find Crocker.
 * 2) Crocker will ask you to get the Boomers to support the NCR. Follow the map to Nellis Air Force Base and talk to Pearl to learn how to win their support.
 * 3) Complete enough Boomers side quests to become idolized by the Boomers.
 * 4) Once you have become idolized by the Boomers, return to Crocker and inform that they have pledged their support. You will complete the quest and gain NCR fame.

Already idolized by the Boomers
If you have already become idolized by the Boomers before you speak to the Ambassador about this quest, a new dialog option will be available. In response to his question about the Boomers, you can reply "Actually, I already know them. We're good friends." When he asks if they will support the NCR, you can answer "The have promised to help me." This completes, and gains the player NCR fame.

Note: This quest is similar to one given by Yes Man.

Bugs
The guard at the gate may not challenge you, but instead stand immobile with a rocket launcher.

This quest may not be completable if you are idolized by the Boomers. (Can anyone confirm? Worked fine for me, PC)

Can confirm, quest IS completable when idolised by Boomers - PS3 (Wilburz)