SOLUTION: I could really use your help today, I am stuck. x/x-2=1/2-x+2/x 2x(x)/2x(x-2)=x(x-2)/2x(x-2)-2(x-2)(x+2)/2x(x-2) 2x^2/2x(x-2)=x^2-2x/2x(x-2)-x^2+8/2x(x-2) I am lost from h

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Question 285289: I could really use your help today, I am stuck.
x/x-2=1/2-x+2/x
2x(x)/2x(x-2)=x(x-2)/2x(x-2)-2(x-2)(x+2)/2x(x-2)
2x^2/2x(x-2)=x^2-2x/2x(x-2)-x^2+8/2x(x-2)
I am lost from here as the last term numerator is negative. I must have made a wrong turn along the way. I appreciate your help.
Thank you,
Tina

Answer by user_dude2008(1862)   (Show Source): You can put this solution on YOUR website!
x/(x-2)=1/2-(x+2)/x


2x(x-2)[x/(x-2)]=2x(x-2)[1/2]-2x(x-2)[(x+2)/x]


2x^2=x(x-2)-2(x-2)(x+2)


2x^2=x^2-2x-2x^2+8

3x^2+2x-8=0

(x+2)(3x-4)=0

x=-2 or x=4/3 <--------------- Answers

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