x^8/3-4x^2/3

Solution for x^8/3-4x^2/3 equation:

x in (-oo:+oo)

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

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

1/3*x^8-4/3*x^2 = 0

t_1 = x^2

1/3*t_1^4-4/3*t_1^1 = 0

1/3*t_1^4-4/3*t_1 = 0

1/3*t_1*(t_1^3-4) = 0

1*t_1^3 = 4 // : 1

t_1^3 = 4

t_1^3 = 4 // ^ 1/3

t_1 = 4^(1/3)

t_1/3 = 0

1/3*t_1 = 0 // : 1/3

t_1 = 0

t_1 = 4^(1/3)

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

1*x^2 = 4^(1/3) // : 1

x^2 = 4^(1/3)

x^2 = 4^(1/3) // ^ 1/2

abs(x) = 4^(1/6)

x = 4^(1/6) or x = -4^(1/6)

t_1 = 0

x^2+0 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { 4^(1/6), -4^(1/6), 0 }