Simplifying equations

[wuzslo]

The Problem is 10/2x + 4/x-5 = 4

I tried to combine denominators and got 2x squared -1ox am I on the correct track and where do I go next?

 

[Deleted member 4993]

The Problem is 10/2x + 4/x-5 = 4

I tried to combine denominators and got 2x squared -1ox am I on the correct track and where do I go next?

Does your problem look like:

\(\displaystyle \frac{10}{2x} + \frac{4}{x-5} \ = \ 4\)

\(\displaystyle \frac{5}{x} + \frac{4}{x-5} \ = \ 4\)

The LCD is x(x-5). We multiply everything by LCD and get

\(\displaystyle \frac{5}{x}\cdot x \cdot (x-5) + \frac{4}{x-5}\cdot x \cdot (x-5) \ = \ 4\cdot x \cdot (x-5)\)

\(\displaystyle {5} \cdot (x-5) + {4}\cdot x \ = \ 4x^2 - 20\)

Now ask your nephew to simplify this and show us what he got - we will work further after that.