I am having issues solving the following equation: $\frac{x}{2x-3} - \frac{1}{2x} = \frac{3}{4x-6}$
The resolution of this is 1.
It is in the section of parabolas and it should be pretty easy to solve.
My steps are as follows:
$\frac{x}{2x-3} - \frac{1}{2x} = \frac{3}{4x-6}$ Multiply by $2x(4x-6)$
$4x^2 -1(4x-6) = 6x$ gets me here, remove $6x$
$4x^2 - 10x + 6 = 0$
Solving this with the parabola formula I ended up getting $\{4,6\}$.