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

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Solution for (x^3-2x^2-x)/x^2-x 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^3-(2*x^2)-x)/(x^2)-x = 0

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

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

x^3-x*x^2-2*x^2-x = 0

-2*x^2-x = 0

-2*x^2-x = 0

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

2*x+1 = 0 // - 1

2*x = -1 // : 2

x = -1/2

-x*(x+1/2) = 0

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

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

-x*(x+1/2) = 0

( -x )

-1*x = 0 // : -1

x = 0

( x+1/2 )

x+1/2 = 0 // - 1/2

x = -1/2

x in { 0} 

x = -1/2

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