# Having trouble with this equation.

Discussion in 'Math' started by BrainFog, Aug 30, 2011.

1. ### BrainFog Thread Starter Member

Jan 24, 2011
122
4
This may not be electronics related but this is the best place I know to ask this question, plus it is a good excuse to try out TEX.

I have just been brushing up on my maths and how to solve this question is alluding me.

Solve $\frac{10}{2x-1}-\frac{3}{x}=3$

That is it, I hope the TEX worked, I know that the answer is x=1.5 or x=-$\frac{1}{3}$ but every time I try to solve it everything goes wrong and I don't even get close to what I know the answers to be, I have tried so many combinations and methods of solving it. Could someone please explain how it is done?

Thank you

2. ### someonesdad Senior Member

Jul 7, 2009
1,585
142
Multiply both sides by $(2x-1)x$ and solve the quadratic equation.