(6w3-8w2+2w)/2w

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Solution for (6w3-8w2+2w)/2w equation: 


w in (-oo:+oo)

w*((6*w^3-(8*w^2)+2*w)/2) = 0

w*((6*w^3-8*w^2+2*w)/2) = 0

(w*(6*w^3-8*w^2+2*w))/2 = 0

6*w^3-8*w^2+2*w = 0

2*w*(3*w^2-4*w+1) = 0

3*w^2-4*w+1 = 0

DELTA = (-4)^2-(1*3*4)

DELTA = 4

DELTA > 0

w = (4^(1/2)+4)/(2*3) or w = (4-4^(1/2))/(2*3)

w = 1 or w = 1/3

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

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

( 2*w )

2*w = 0 // : 2

w = 0

( w-1/3 )

w-1/3 = 0 // + 1/3

w = 1/3

( w-1 )

w-1 = 0 // + 1

w = 1

( w )

w = 0

w in { 0, 1/3, 1, 0 }

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