12/5x^6-8/5x^3

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Solution for 12/5x^6-8/5x^3 equation: 


x in (-oo:+oo)

(12/5)*x^6-((8/5)*x^3) = 0

(12/5)*x^6+(-8/5)*x^3 = 0

12/5*x^6-8/5*x^3 = 0

t_1 = x^3

12/5*t_1^2-8/5*t_1^1 = 0

12/5*t_1^2-8/5*t_1 = 0

DELTA = (-8/5)^2-(0*12/5*4)

DELTA = 64/25

DELTA > 0

t_1 = ((64/25)^(1/2)+8/5)/(2*12/5) or t_1 = (8/5-(64/25)^(1/2))/(2*12/5)

t_1 = 2/3 or t_1 = 0

t_1 = 0

x^3+0 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

t_1 = 2/3

x^3-2/3 = 0

1*x^3 = 2/3 // : 1

x^3 = 2/3

x^3 = 2/3 // ^ 1/3

x = (2/3)^(1/3)

x in { 0, (2/3)^(1/3) }

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