(6x^4+4x^3-x^2)/2x^3

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Solution for (6x^4+4x^3-x^2)/2x^3 equation: 


x in (-oo:+oo)

x^3*((6*x^4+4*x^3-x^2)/2) = 0

(x^3*(6*x^4+4*x^3-x^2))/2 = 0

6*x^4+4*x^3-x^2 = 0

x^2*(6*x^2+4*x-1) = 0

6*x^2+4*x-1 = 0

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

DELTA = 40

DELTA > 0

x = (40^(1/2)-4)/(2*6) or x = (-40^(1/2)-4)/(2*6)

x = (2*10^(1/2)-4)/12 or x = (-2*10^(1/2)-4)/12

x^2*(x-((-2*10^(1/2)-4)/12))*(x-((2*10^(1/2)-4)/12)) = 0

(x^2*x^3*(x-((-2*10^(1/2)-4)/12))*(x-((2*10^(1/2)-4)/12)))/2 = 0

( x-((-2*10^(1/2)-4)/12) )

x-((-2*10^(1/2)-4)/12) = 0 // + (-2*10^(1/2)-4)/12

x = (-2*10^(1/2)-4)/12

( x-((2*10^(1/2)-4)/12) )

x-((2*10^(1/2)-4)/12) = 0 // + (2*10^(1/2)-4)/12

x = (2*10^(1/2)-4)/12

( x^2 )

1*x^2 = 0 // : 1

x^2 = 0

x = 0

( x^3 )

1*x^3 = 0 // : 1

x^3 = 0

x = 0

x in { (-2*10^(1/2)-4)/12, (2*10^(1/2)-4)/12, 0, 0 }

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