(2x^3+8x^3/3)-(x^4+x^6/3)

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Solution for (2x^3+8x^3/3)-(x^4+x^6/3) equation: 


x in (-oo:+oo)

2*x^3-((x^6)/3)-x^4+(8*x^3)/3 = 0

14/3*x^3-1/3*x^6-x^4 = 0

x^3*(14/3-1/3*x^3-x) = 0

(-1/3)*x^3-x+14/3 = 0

(-1/3)*x^3-x+14/3 = 0 // * 0

{ 1, -1, 2, -2, 7, -7, 14, -14 }

1

x = 1

14-x^3-3*x = 10

1

-1

x = -1

14-x^3-3*x = 18

-1

2

x = 2

14-x^3-3*x = 0

2

x-2

-x^2-2*x-7

14-x^3-3*x

x-2

x^3-2*x^2

14-2*x^2-3*x

2*x^2-4*x

14-7*x

7*x-14

0

-x^2-2*x-7 = 0

DELTA = (-2)^2-(-7*(-1)*4)

DELTA = -24

DELTA < 0

x in { 2} 

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

x in { 2, 0 }

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