(2x-4x^2)/(6x)

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Solution for (2x-4x^2)/(6x) equation: 


D( x )

6*x = 0

6*x = 0

6*x = 0

6*x = 0 // : 6

x = 0

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

(2*x-(4*x^2))/(6*x) = 0

(2*x-4*x^2)/(6*x) = 0

2*x-4*x^2 = 0

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

1-2*x = 0 // - 1

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

x = -1/(-2)

x = 1/2

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

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

( 2*x )

2*x = 0 // : 2

x = 0

( x-1/2 )

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

x = 1/2

x in { 0} 

x = 1/2

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