=(3xy+2x^3+3y^3)(9x^3-12y^3)

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Solution for =(3xy+2x^3+3y^3)(9x^3-12y^3) equation: 


Simplifying
0 = (3xy + 2x3 + 3y3)(9x3 + -12y3)

Multiply (3xy + 2x3 + 3y3) * (9x3 + -12y3)
0 = (3xy * (9x3 + -12y3) + 2x3 * (9x3 + -12y3) + 3y3 * (9x3 + -12y3))
0 = ((9x3 * 3xy + -12y3 * 3xy) + 2x3 * (9x3 + -12y3) + 3y3 * (9x3 + -12y3))

Reorder the terms:
0 = ((-36xy4 + 27x4y) + 2x3 * (9x3 + -12y3) + 3y3 * (9x3 + -12y3))
0 = ((-36xy4 + 27x4y) + 2x3 * (9x3 + -12y3) + 3y3 * (9x3 + -12y3))
0 = (-36xy4 + 27x4y + (9x3 * 2x3 + -12y3 * 2x3) + 3y3 * (9x3 + -12y3))

Reorder the terms:
0 = (-36xy4 + 27x4y + (-24x3y3 + 18x6) + 3y3 * (9x3 + -12y3))
0 = (-36xy4 + 27x4y + (-24x3y3 + 18x6) + 3y3 * (9x3 + -12y3))
0 = (-36xy4 + 27x4y + -24x3y3 + 18x6 + (9x3 * 3y3 + -12y3 * 3y3))
0 = (-36xy4 + 27x4y + -24x3y3 + 18x6 + (27x3y3 + -36y6))

Reorder the terms:
0 = (-36xy4 + -24x3y3 + 27x3y3 + 27x4y + 18x6 + -36y6)

Combine like terms: -24x3y3 + 27x3y3 = 3x3y3
0 = (-36xy4 + 3x3y3 + 27x4y + 18x6 + -36y6)

Solving
0 = -36xy4 + 3x3y3 + 27x4y + 18x6 + -36y6

Solving for variable 'x'.
Remove the zero:
36xy4 + -3x3y3 + -27x4y + -18x6 + 36y6 = -36xy4 + 3x3y3 + 27x4y + 18x6 + -36y6 + 36xy4 + -3x3y3 + -27x4y + -18x6 + 36y6

Reorder the terms:
36xy4 + -3x3y3 + -27x4y + -18x6 + 36y6 = -36xy4 + 36xy4 + 3x3y3 + -3x3y3 + 27x4y + -27x4y + 18x6 + -18x6 + -36y6 + 36y6

Combine like terms: -36xy4 + 36xy4 = 0
36xy4 + -3x3y3 + -27x4y + -18x6 + 36y6 = 0 + 3x3y3 + -3x3y3 + 27x4y + -27x4y + 18x6 + -18x6 + -36y6 + 36y6
36xy4 + -3x3y3 + -27x4y + -18x6 + 36y6 = 3x3y3 + -3x3y3 + 27x4y + -27x4y + 18x6 + -18x6 + -36y6 + 36y6

Combine like terms: 3x3y3 + -3x3y3 = 0
36xy4 + -3x3y3 + -27x4y + -18x6 + 36y6 = 0 + 27x4y + -27x4y + 18x6 + -18x6 + -36y6 + 36y6
36xy4 + -3x3y3 + -27x4y + -18x6 + 36y6 = 27x4y + -27x4y + 18x6 + -18x6 + -36y6 + 36y6

Combine like terms: 27x4y + -27x4y = 0
36xy4 + -3x3y3 + -27x4y + -18x6 + 36y6 = 0 + 18x6 + -18x6 + -36y6 + 36y6
36xy4 + -3x3y3 + -27x4y + -18x6 + 36y6 = 18x6 + -18x6 + -36y6 + 36y6

Combine like terms: 18x6 + -18x6 = 0
36xy4 + -3x3y3 + -27x4y + -18x6 + 36y6 = 0 + -36y6 + 36y6
36xy4 + -3x3y3 + -27x4y + -18x6 + 36y6 = -36y6 + 36y6

Combine like terms: -36y6 + 36y6 = 0
36xy4 + -3x3y3 + -27x4y + -18x6 + 36y6 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(12xy4 + -1x3y3 + -9x4y + -6x6 + 12y6) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(12xy4 + -1x3y3 + -9x4y + -6x6 + 12y6)' equal to zero and attempt to solve:

Simplifying
12xy4 + -1x3y3 + -9x4y + -6x6 + 12y6 = 0

Solving
12xy4 + -1x3y3 + -9x4y + -6x6 + 12y6 = 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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