4x^2y^3+8x^4y^3-12x^2y^5=

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Solution for 4x^2y^3+8x^4y^3-12x^2y^5= equation: 


Simplifying
4x2y3 + 8x4y3 + -12x2y5 = 0

Reorder the terms:
4x2y3 + -12x2y5 + 8x4y3 = 0

Solving
4x2y3 + -12x2y5 + 8x4y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2y3'.
4x2y3(1 + -3y2 + 2x2) = 0

Factor a trinomial.
4x2y3((-3y + -2x)(y + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x2y3' equal to zero and attempt to solve:

Simplifying
x2y3 = 0

Solving
x2y3 = 0

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

Simplifying
x2y3 = 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 '(-3y + -2x)' equal to zero and attempt to solve:

Simplifying
-3y + -2x = 0

Reorder the terms:
-2x + -3y = 0

Solving
-2x + -3y = 0

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

Add '3y' to each side of the equation.
-2x + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
-2x + 0 = 0 + 3y
-2x = 0 + 3y
Remove the zero:
-2x = 3y

Divide each side by '-2'.
x = -1.5y

Simplifying
x = -1.5y

Subproblem 3
Set the factor '(y + -1x)' equal to zero and attempt to solve:

Simplifying
y + -1x = 0

Reorder the terms:
-1x + y = 0

Solving
-1x + y = 0

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

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

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

Divide each side by '-1'.
x = y

Simplifying
x = y
Solution
x = {-1.5y, y}

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