((1/3x)-(1/6x^2))/(1-1/2x)

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Solution for ((1/3x)-(1/6x^2))/(1-1/2x) equation: 


D( x )

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

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

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

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

1-1/2*x = 0 // - 1

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

x = -1/(-1/2)

x = 2

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

((1/3)*x-((1/6)*x^2))/(1-((1/2)*x)) = 0

((-1/6)*x^2+(1/3)*x)/((-1/2)*x+1) = 0

(1/3*x-1/6*x^2)/(1-1/2*x) = 0

1/3*x-1/6*x^2 = 0

1/3*x*(1-1/2*x) = 0

1-1/2*x = 0 // - 1

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

x = -1/(-1/2)

x = 2

1/3*x*(x-2) = 0

(1/3*x*(x-2))/(1-1/2*x) = 0

( 1/3*x )

1/3*x = 0 // : 1/3

x = 0

( x-2 )

x-2 = 0 // + 2

x = 2

x in { 2} 

x = 0

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