((x^2-4)(x-5)^2)/((x-2)(x-5))

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Solution for ((x^2-4)(x-5)^2)/((x-2)(x-5)) equation: 


D( x )

(x-2)*(x-5) = 0

(x-2)*(x-5) = 0

(x-2)*(x-5) = 0

( x-2 )

x-2 = 0 // + 2

x = 2

( x-5 )

x-5 = 0 // + 5

x = 5

x in (-oo:2) U (2:5) U (5:+oo)

((x^2-4)*(x-5)^2)/((x-2)*(x-5)) = 0

((x^2-4)*(x-5))/(x-2) = 0

( x-5 )

x-5 = 0 // + 5

x = 5

( x^2-4 )

1*x^2 = 4 // : 1

x^2 = 4

x^2 = 4 // ^ 1/2

abs(x) = 2

x = 2 or x = -2

x in { 5} 

x in { 2} 

x = -2

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