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

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Solution for (2x^2-2x)/(2x-1)^2=0 equation: 


D( x )

(2*x-1)^2 = 0

(2*x-1)^2 = 0

(2*x-1)^2 = 0

2*x-1 = 0 // + 1

2*x = 1 // : 2

x = 1/2

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

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

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

2*x^2-2*x = 0

2*x*(x-1) = 0

x-1 = 0 // + 1

x = 1

2*x*(x-1) = 0

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

( 2*x )

2*x = 0 // : 2

x = 0

( x-1 )

x-1 = 0 // + 1

x = 1

x in { 0, 1 }

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