a6/12=a2/4

Solution for a6/12=a2/4 equation:

a in (-oo:+oo)

(a^6)/12 = (a^2)/4 // - (a^2)/4

(a^6)/12-((a^2)/4) = 0

1/12*a^6-1/4*a^2 = 0

t_1 = a^2

1/12*t_1^3-1/4*t_1^1 = 0

1/12*t_1^3-1/4*t_1 = 0

1/4*t_1*(1/3*t_1^2-1) = 0

1/3*t_1^2 = 1 // : 1/3

t_1^2 = 3

t_1^2 = 3 // ^ 1/2

abs(t_1) = 3^(1/2)

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

t_1/4 = 0

1/4*t_1 = 0 // : 1/4

t_1 = 0

t_1 = 3^(1/2)

a^2-3^(1/2) = 0

1*a^2 = 3^(1/2) // : 1

a^2 = 3^(1/2)

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

abs(a) = 3^(1/4)

a = 3^(1/4) or a = -3^(1/4)

t_1 = -3^(1/2)

a^2+3^(1/2) = 0

1*a^2 = -3^(1/2) // : 1

a^2 = -3^(1/2)

t_1 = 0

a^2+0 = 0

a^2 = 0

1*a^2 = 0 // : 1

a^2 = 0

a = 0

a in { 3^(1/4), -3^(1/4), 0 }