(1/(2x-1))-(2x/(2x-1))

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Solution for (1/(2x-1))-(2x/(2x-1)) equation: 


D( x )

2*x-1 = 0

2*x-1 = 0

2*x-1 = 0

2*x-1 = 0 // + 1

2*x = 1 // : 2

x = 1/2

x in (-oo:1/2) U (1/2:+oo)

1/(2*x-1)-((2*x)/(2*x-1)) = 0

1/(2*x-1)-2*x*(2*x-1)^-1 = 0

1/(2*x-1)+(-2*x)/(2*x-1) = 0

1-2*x = 0

(1-2*x)/(2*x-1) = 0

(1-2*x)/(2*x-1) = 0 // * 2*x-1

1-2*x = 0

1-2*x = 0 // - 1

-2*x = -1 // : -2

x = -1/(-2)

x = 1/2

x in { 1/2} 

x belongs to the empty set

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