6x^2y^4-12x^4y^2/2x^2

Solution for 6x^2y^4-12x^4y^2/2x^2 equation:

x in (-oo:+oo)

6*x^2*y^4-(x^2*((12*x^4*y^2)/2)) = 0

6*x^2*y^4-6*x^6*y^2 = 0

t_1 = x^2

6*t_1^1*y^4-6*t_1^3*y^2 = 0

6*t_1*y^4-6*t_1^3*y^2 = 0

6*t_1*y^2*(y^2-t_1^2) = 0

-1*t_1^2 = -y^2 // : -1

t_1^2 = y^2

t_1^2 = y^2 // ^ 1/2

abs(t_1) = y

t_1 = y or t_1 = -y

6*t_1*y^2 = 0

6*t_1*y^2 = 0 // : 6*y^2

t_1 = 0

t_1 = y

x^2-y = 0

1*x^2 = y // : 1

x^2 = y

x^2 = y // ^ 1/2

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

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

t_1 = -y

x^2+y = 0

1*x^2 = -y // : 1

x^2 = -y

x^2 = -y // ^ 1/2

abs(x) = (-y)^(1/2)

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

t_1 = 0

x^2+0 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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