I want to join the military and was wondering if i'm ever going to need to know how to do all these crazy equations and factoring and a lot more
For the most part, no. But it all depends on the job you get and the branch you go into. You'll need to know the math you learn in high school to get a good score on the ASVAB test. The better you score on your ASVAB, the more jobs you can choose from. You might want a job that doesn't require math, but it MAY require a high ASVAB score. Don't ignore that math, you'll need it for your test!