I'm really not sure how to go about solving this algebraic equation, ! 513 = (2x)^2 / (.05-x)

Let's set it up like this:

Multiply both sides by 


We are then going to use the distributive property. Since we also know that the opposite of an number that is squared is the square root, we can also apply that. We would be left with something like this:

The variable  can be both positive or negative.
We have found successfully our answer.

Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish

With a continuous thought process.