Sah...
First off, how do I factor $\displaystyle 8x^2+4x=0$, I also need to factor for x here. Oh, and how do I do fractions in Latex?
don't you mean you're trying to solve for x?
to factor, just pull out a gcf (greatest common factor) from both terms.
by that, i mean say you have $\displaystyle 9x^2 + 3x = 0$
Both have an x, so you can pull that out. and both are divisible by 3, so pull that out as well.
Now you have: $\displaystyle 3x(3x + 1) = 0$
So solve: $\displaystyle 3x = 0$ and $\displaystyle 3x + 1 = 0$
to make fractions, put \frac{numerator}{denominator}
downloading TeXaide will help you with typing with LaTex.