12x^4y^3+20x^2y^2-24x^2y=0

Solution for 12x^4y^3+20x^2y^2-24x^2y=0 equation:

Simplifying
12x4y3 + 20x2y2 + -24x2y = 0

Reorder the terms:
-24x2y + 20x2y2 + 12x4y3 = 0

Solving
-24x2y + 20x2y2 + 12x4y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2y'.
4x2y(-6 + 5y + 3x2y2) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve:

Simplifying
x2y = 0

Solving
x2y = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x2y = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-6 + 5y + 3x2y2)' equal to zero and attempt to solve:

Simplifying
-6 + 5y + 3x2y2 = 0

Reorder the terms:
-6 + 3x2y2 + 5y = 0

Solving
-6 + 3x2y2 + 5y = 0

Move all terms containing x to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 3x2y2 + 6 + 5y = 0 + 6

Reorder the terms:
-6 + 6 + 3x2y2 + 5y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 3x2y2 + 5y = 0 + 6
3x2y2 + 5y = 0 + 6

Combine like terms: 0 + 6 = 6
3x2y2 + 5y = 6

Add '-5y' to each side of the equation.
3x2y2 + 5y + -5y = 6 + -5y

Combine like terms: 5y + -5y = 0
3x2y2 + 0 = 6 + -5y
3x2y2 = 6 + -5y

Divide each side by '3y2'.
x2 = 2y-2 + -1.666666667y-1

Simplifying
x2 = 2y-2 + -1.666666667y-1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.