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

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


D( x )

(x-2)^2 = 0

(x-2)^2 = 0

(x-2)^2 = 0

x-2 = 0 // + 2

x = 2

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

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

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

x^2-4*x = 0

x*(x-4) = 0

x-4 = 0 // + 4

x = 4

x*(x-4) = 0

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

( x-4 )

x-4 = 0 // + 4

x = 4

( x )

x = 0

x in { 4, 0 }

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