x-2/x^2-2x

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Solution for x-2/x^2-2x equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

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

x-2*x-2*x^-2 = 0

-x-2*x^-2 = 0

-x*(2*x^-3+1) = 0

2*x^-3 = -1 // : 2

x^-3 = -1/2

-3 < 0

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

1 = -1/2*x^3 // : -1/2

-2 = x^3

x^3 = -2 // ^ 1/3

x = -2^(1/3)

-x = 0

-1*x = 0 // : -1

x = 0

x in { 0} 

x = -2^(1/3)

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