2x/(x-2)+4/x-2

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Solution for 2x/(x-2)+4/x-2 equation: 


D( x )

x-2 = 0

x = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x = 0

x = 0

x in (-oo:0) U (0:2) U (2:+oo)

(2*x)/(x-2)+4/x-2 = 0

(2*x*x)/(x*(x-2))+(4*(x-2))/(x*(x-2))+(-2*x*(x-2))/(x*(x-2)) = 0

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

2*x^2-2*x^2+4*x+4*x-8 = 0

8*x-8 = 0

(8*x-8)/(x*(x-2)) = 0

(8*x-8)/(x*(x-2)) = 0 // * x*(x-2)

8*x-8 = 0

8*x-8 = 0 // + 8

8*x = 8 // : 8

x = 8/8

x = 1

x = 1

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