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

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

x in (-oo:+oo)

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

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

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

t_1 = x^2

1/3*t_1^1-1*t_1^2 = 0

1/3*t_1-t_1^2 = 0

DELTA = (1/3)^2-(-1*0*4)

DELTA = 1/9

DELTA > 0

t_1 = ((1/9)^(1/2)-1/3)/(-1*2) or t_1 = (-(1/9)^(1/2)-1/3)/(-1*2)

t_1 = 0 or t_1 = 1/3

t_1 = 0

x^2+0 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

t_1 = 1/3

x^2-1/3 = 0

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

x^2 = 1/3

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

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

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

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