Will battlefield 4 even start up on my rig? I dont want to waste my time looking for solutions when its just crap hardware.

All but one of the AMD Radeon (desktop) cards in the "HD 55nn" range are below the minimum. 

The HD 6570 might get in above the minimum with either memory speed, but the HD 5570 needs to be the GDDR5 version, and all bets are off regarding mobile graphics, which are always downgraded from the desktop standard. 

So is my CPU good to go then?

No problem there, assuming that the official requirements hold up until the real game is released.  You really want an HD 7850 and upward from there if you are a fan of AMD Radeons. 

I dont much care for what brand i get. That being said Geforce or Radeon and if GeForce which one?

Btw thanks for the quick replies 🙂

Oh and what is the cheapest card in the market that can run BF4 on max?? I mean the HD 7850 is pretty low on the price but ya know I dont have a lot of money as of now and id rather now blow 150+ dollars on a video card. Call me cheap but we all got out monetary struggles.

It's early days yet before a prediction like that could be made with any sense of accuracy.  If you can locate any HD 6850s (and 6870s) for sale, those were heavily discounted to move them out, but are darned close to as good as the HD 7850. 

okay last question, does it matter if its XFX, MSI, Sapphire or w.e?

Some retailers offer better service and support than others.  PowerColor is one I tend to avoid.  Gigabyte has never let me down. 

lol funny im talking to a guy selling a powercolor HD 6850 for 75 on craigslist and im trying to figure out if itll run bf4 /:

6850 will diff run the game, but i would expect medium details and full HD tops (without any AA/AF).

Maybe even 720p resolution if you want a stable 60+fps. 

its a relative new GPU (2½ gen old), with alright performance.

Just remember that the game is still in Beta ATM, it has many issues and u might still experience shutter/lags if you have the wrong CPU/windows combo, simply because of poorly optimized code/ core-workload issues ATM. 

Running BF4 maxed isn't a easy thing to do. For a job like that on Full HD, i would say a GTX770 /AMD HD7970Boost, at very least, maybe even better cards.

at 720p u can maybe get away with it with a HD7870 or a GTX670/760 series card. 

not 100% sure how the fps will look with those tho, but should be able to hit 50-60+@ stable fps with those cards at those resolutions. 

ooh and don't buy a gpu with less than 2gb of GPU-Memory for this game.