(3x-4)(2x-1)/((2x-1)(x-1)^2)

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Solution for (3x-4)(2x-1)/((2x-1)(x-1)^2) equation: 


D( x )

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

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

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

( 2*x-1 )

2*x-1 = 0 // + 1

2*x = 1 // : 2

x = 1/2

( x-1 )

x-1 = 0 // + 1

x = 1

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

((3*x-4)*(2*x-1))/((2*x-1)*(x-1)^2) = 0

(3*x-4)/((x-1)^2) = 0

3*x-4 = 0 // + 4

3*x = 4 // : 3

x = 4/3

x = 4/3

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