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 $\{4,6\}$.