(x^2-2x)/(x^3-8)

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Solution for (x^2-2x)/(x^3-8) equation:


D( x )

x^3-8 = 0

x^3-8 = 0

x^3-8 = 0

1*x^3 = 8 // : 1

x^3 = 8

x^3 = 8 // ^ 1/3

x = 2

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

(x^2-(2*x))/(x^3-8) = 0

(x^2-2*x)/(x^3-8) = 0

x^2-2*x = 0

x*(x-2) = 0

x-2 = 0 // + 2

x = 2

x*(x-2) = 0

(x*(x-2))/(x^3-8) = 0

( x-2 )

x-2 = 0 // + 2

x = 2

( x )

x = 0

x in { 2}

x = 0

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