To complete the level 3 "15 Minutes of Fame" Pursuit achievement and earn the video badge, simply post a video in the Video Forum and wait. Once your video thread has enough views and comments the badge will be added to your account automatically. To help get the badge faster, be sure to add a link to your video thread in your signature as well as posting a link to the thread on your favorite social media site (Facebook, Twitter, Google+, Pinterest, etc).
Keep in mind, if you don't wait to get assigned the badge before moving on to the next level in Pursuit you'll lose the chance to get those achievement points!
If you want to set off and go develop some grand new thing, you don't need millions of dollars of capitalization. You need enough pizza and Diet Coke to stick in your refrigerator, a cheap PC to work on, and the dedication to go through with it. We slept on floors. We waded across rivers. -John Carmack