6x^4y(2x^2-x^2y^3+9y^3)=

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Solution for 6x^4y(2x^2-x^2y^3+9y^3)= equation: 


Simplifying
6x4y(2x2 + -1x2y3 + 9y3) = 0
(2x2 * 6x4y + -1x2y3 * 6x4y + 9y3 * 6x4y) = 0

Reorder the terms:
(54x4y4 + 12x6y + -6x6y4) = 0
(54x4y4 + 12x6y + -6x6y4) = 0

Solving
54x4y4 + 12x6y + -6x6y4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x4y'.
6x4y(9y3 + 2x2 + -1x2y3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'x4y' equal to zero and attempt to solve:

Simplifying
x4y = 0

Solving
x4y = 0

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

Simplifying
x4y = 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 '(9y3 + 2x2 + -1x2y3)' equal to zero and attempt to solve:

Simplifying
9y3 + 2x2 + -1x2y3 = 0

Reorder the terms:
2x2 + -1x2y3 + 9y3 = 0

Solving
2x2 + -1x2y3 + 9y3 = 0

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

Add '-9y3' to each side of the equation.
2x2 + -1x2y3 + 9y3 + -9y3 = 0 + -9y3

Combine like terms: 9y3 + -9y3 = 0
2x2 + -1x2y3 + 0 = 0 + -9y3
2x2 + -1x2y3 = 0 + -9y3
Remove the zero:
2x2 + -1x2y3 = -9y3

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.

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