solving for X

[panda125]

(18)/(x-4)=1+(20)/(x+4)


Hi, Not really sure how to do this problem at all can some one give me a hand here please

 

[masters]

(18)/(x-4)=1+(20)/(x+4)


Hi, Not really sure how to do this problem at all can some one give me a hand here please

Hi panda125,

If I'm reading this correctly you have:

\(\displaystyle \frac{18}{x-4}=1+\frac{20}{x+4}\)

First, multiply all terms by (x - 4)(x +4).

This will yield: \(\displaystyle 18(x+4)=1(x-4)(x+4)+20(x-4)\)

Expanding, we arrive at: \(\displaystyle 18x+72=x^2-16+20x-80\)

Combining terms and stuff: \(\displaystyle x^2+2x-168=0\)

Factor to find your two value for x.