=-3x^2y(-2x^4y^2+3xy^3+4)

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


Simplifying
0 = -3x2y(-2x4y2 + 3xy3 + 4)

Reorder the terms:
0 = -3x2y(4 + 3xy3 + -2x4y2)
0 = (4 * -3x2y + 3xy3 * -3x2y + -2x4y2 * -3x2y)
0 = (-12x2y + -9x3y4 + 6x6y3)

Solving
0 = -12x2y + -9x3y4 + 6x6y3

Solving for variable 'x'.
Remove the zero:
12x2y + 9x3y4 + -6x6y3 = -12x2y + -9x3y4 + 6x6y3 + 12x2y + 9x3y4 + -6x6y3

Reorder the terms:
12x2y + 9x3y4 + -6x6y3 = -12x2y + 12x2y + -9x3y4 + 9x3y4 + 6x6y3 + -6x6y3

Combine like terms: -12x2y + 12x2y = 0
12x2y + 9x3y4 + -6x6y3 = 0 + -9x3y4 + 9x3y4 + 6x6y3 + -6x6y3
12x2y + 9x3y4 + -6x6y3 = -9x3y4 + 9x3y4 + 6x6y3 + -6x6y3

Combine like terms: -9x3y4 + 9x3y4 = 0
12x2y + 9x3y4 + -6x6y3 = 0 + 6x6y3 + -6x6y3
12x2y + 9x3y4 + -6x6y3 = 6x6y3 + -6x6y3

Combine like terms: 6x6y3 + -6x6y3 = 0
12x2y + 9x3y4 + -6x6y3 = 0

Factor out the Greatest Common Factor (GCF), '3x2y'.
3x2y(4 + 3xy3 + -2x4y2) = 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 '(4 + 3xy3 + -2x4y2)' equal to zero and attempt to solve:

Simplifying
4 + 3xy3 + -2x4y2 = 0

Solving
4 + 3xy3 + -2x4y2 = 0

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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