(12v^3+18v^2+3v)/6v

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Solution for (12v^3+18v^2+3v)/6v equation: 


v in (-oo:+oo)

v*((12*v^3+18*v^2+3*v)/6) = 0

(v*(12*v^3+18*v^2+3*v))/6 = 0

12*v^3+18*v^2+3*v = 0

3*v*(4*v^2+6*v+1) = 0

4*v^2+6*v+1 = 0

DELTA = 6^2-(1*4*4)

DELTA = 20

DELTA > 0

v = (20^(1/2)-6)/(2*4) or v = (-20^(1/2)-6)/(2*4)

v = (2*5^(1/2)-6)/8 or v = (-2*5^(1/2)-6)/8

3*v*(v-((-2*5^(1/2)-6)/8))*(v-((2*5^(1/2)-6)/8)) = 0

(3*v*v*(v-((-2*5^(1/2)-6)/8))*(v-((2*5^(1/2)-6)/8)))/6 = 0

( 3*v )

3*v = 0 // : 3

v = 0

( v-((-2*5^(1/2)-6)/8) )

v-((-2*5^(1/2)-6)/8) = 0 // + (-2*5^(1/2)-6)/8

v = (-2*5^(1/2)-6)/8

( v-((2*5^(1/2)-6)/8) )

v-((2*5^(1/2)-6)/8) = 0 // + (2*5^(1/2)-6)/8

v = (2*5^(1/2)-6)/8

( v )

v = 0

v in { 0, (-2*5^(1/2)-6)/8, (2*5^(1/2)-6)/8, 0 }

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