Hey there, guys! Since I have some TCs and items to burn, I've decided to spend it on a little event.

Uncle Dave? What is this sh&#?
I'll post a math problem. If you solve it, and provide a step-by-step guide on how you solved it, I'll give you the amount of TCs plus an item specified below. Cheating (using a program to do it for you) will be apparent to me, and you'll be disqualified. You can either PM me your solution, or if you are feeling brave, you can post it here.

That sounds great! Show me the problem!
Our first problem will be the following equation. I'd like to know the real roots of it (x€R).
2x^4-5x^3-8x^2-5x+2=0

Neat! The prize?
2000 TC +

Remember, your answer is valid only if you provide a step-by-step solution! Have fun, lads