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

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


x in (-oo:+oo)

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

x^3-1/8*x^6 = 0

t_1 = x^3

1*t_1^1-1/8*t_1^2 = 0

t_1-1/8*t_1^2 = 0

DELTA = 1^2-(-1/8*0*4)

DELTA = 1

DELTA > 0

t_1 = (1^(1/2)-1)/(-1/8*2) or t_1 = (-1^(1/2)-1)/(-1/8*2)

t_1 = 0 or t_1 = 8

t_1 = 0

x^3+0 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

t_1 = 8

x^3-8 = 0

1*x^3 = 8 // : 1

x^3 = 8

x^3 = 8 // ^ 1/3

x = 2

x in { 0, 2 }

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