-12x^4y-9x^3y^2+3x^2y^3=0

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Solution for -12x^4y-9x^3y^2+3x^2y^3=0 equation: 


Simplifying
-12x4y + -9x3y2 + 3x2y3 = 0

Reorder the terms:
3x2y3 + -9x3y2 + -12x4y = 0

Solving
3x2y3 + -9x3y2 + -12x4y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2y'.
3x2y(y2 + -3xy + -4x2) = 0

Factor a trinomial.
3x2y((y + -4x)(y + x)) = 0

Ignore the factor 3.

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 '(y + -4x)' equal to zero and attempt to solve:

Simplifying
y + -4x = 0

Reorder the terms:
-4x + y = 0

Solving
-4x + y = 0

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

Add '-1y' to each side of the equation.
-4x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
-4x + 0 = 0 + -1y
-4x = 0 + -1y
Remove the zero:
-4x = -1y

Divide each side by '-4'.
x = 0.25y

Simplifying
x = 0.25y

Subproblem 3
Set the factor '(y + x)' equal to zero and attempt to solve:

Simplifying
y + x = 0

Reorder the terms:
x + y = 0

Solving
x + y = 0

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

Add '-1y' to each side of the equation.
x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
x + 0 = 0 + -1y
x = 0 + -1y
Remove the zero:
x = -1y

Simplifying
x = -1y
Solution
x = {0.25y, -1y}

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