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

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


Simplifying
0 = (x + -3y2)(x + y)(2x + -3y)

Multiply (x + -3y2) * (x + y)
0 = (x(x + y) + -3y2 * (x + y))(2x + -3y)
0 = ((x * x + y * x) + -3y2 * (x + y))(2x + -3y)

Reorder the terms:
0 = ((xy + x2) + -3y2 * (x + y))(2x + -3y)
0 = ((xy + x2) + -3y2 * (x + y))(2x + -3y)
0 = (xy + x2 + (x * -3y2 + y * -3y2))(2x + -3y)
0 = (xy + x2 + (-3xy2 + -3y3))(2x + -3y)

Reorder the terms:
0 = (xy + -3xy2 + x2 + -3y3)(2x + -3y)
0 = (xy + -3xy2 + x2 + -3y3)(2x + -3y)

Multiply (xy + -3xy2 + x2 + -3y3) * (2x + -3y)
0 = (xy(2x + -3y) + -3xy2 * (2x + -3y) + x2(2x + -3y) + -3y3 * (2x + -3y))
0 = ((2x * xy + -3y * xy) + -3xy2 * (2x + -3y) + x2(2x + -3y) + -3y3 * (2x + -3y))

Reorder the terms:
0 = ((-3xy2 + 2x2y) + -3xy2 * (2x + -3y) + x2(2x + -3y) + -3y3 * (2x + -3y))
0 = ((-3xy2 + 2x2y) + -3xy2 * (2x + -3y) + x2(2x + -3y) + -3y3 * (2x + -3y))
0 = (-3xy2 + 2x2y + (2x * -3xy2 + -3y * -3xy2) + x2(2x + -3y) + -3y3 * (2x + -3y))

Reorder the terms:
0 = (-3xy2 + 2x2y + (9xy3 + -6x2y2) + x2(2x + -3y) + -3y3 * (2x + -3y))
0 = (-3xy2 + 2x2y + (9xy3 + -6x2y2) + x2(2x + -3y) + -3y3 * (2x + -3y))
0 = (-3xy2 + 2x2y + 9xy3 + -6x2y2 + (2x * x2 + -3y * x2) + -3y3 * (2x + -3y))

Reorder the terms:
0 = (-3xy2 + 2x2y + 9xy3 + -6x2y2 + (-3x2y + 2x3) + -3y3 * (2x + -3y))
0 = (-3xy2 + 2x2y + 9xy3 + -6x2y2 + (-3x2y + 2x3) + -3y3 * (2x + -3y))
0 = (-3xy2 + 2x2y + 9xy3 + -6x2y2 + -3x2y + 2x3 + (2x * -3y3 + -3y * -3y3))
0 = (-3xy2 + 2x2y + 9xy3 + -6x2y2 + -3x2y + 2x3 + (-6xy3 + 9y4))

Reorder the terms:
0 = (-3xy2 + 9xy3 + -6xy3 + 2x2y + -3x2y + -6x2y2 + 2x3 + 9y4)

Combine like terms: 9xy3 + -6xy3 = 3xy3
0 = (-3xy2 + 3xy3 + 2x2y + -3x2y + -6x2y2 + 2x3 + 9y4)

Combine like terms: 2x2y + -3x2y = -1x2y
0 = (-3xy2 + 3xy3 + -1x2y + -6x2y2 + 2x3 + 9y4)

Solving
0 = -3xy2 + 3xy3 + -1x2y + -6x2y2 + 2x3 + 9y4

Solving for variable 'x'.
Remove the zero:
3xy2 + -3xy3 + x2y + 6x2y2 + -2x3 + -9y4 = -3xy2 + 3xy3 + -1x2y + -6x2y2 + 2x3 + 9y4 + 3xy2 + -3xy3 + x2y + 6x2y2 + -2x3 + -9y4

Reorder the terms:
3xy2 + -3xy3 + x2y + 6x2y2 + -2x3 + -9y4 = -3xy2 + 3xy2 + 3xy3 + -3xy3 + -1x2y + x2y + -6x2y2 + 6x2y2 + 2x3 + -2x3 + 9y4 + -9y4

Combine like terms: -3xy2 + 3xy2 = 0
3xy2 + -3xy3 + x2y + 6x2y2 + -2x3 + -9y4 = 0 + 3xy3 + -3xy3 + -1x2y + x2y + -6x2y2 + 6x2y2 + 2x3 + -2x3 + 9y4 + -9y4
3xy2 + -3xy3 + x2y + 6x2y2 + -2x3 + -9y4 = 3xy3 + -3xy3 + -1x2y + x2y + -6x2y2 + 6x2y2 + 2x3 + -2x3 + 9y4 + -9y4

Combine like terms: 3xy3 + -3xy3 = 0
3xy2 + -3xy3 + x2y + 6x2y2 + -2x3 + -9y4 = 0 + -1x2y + x2y + -6x2y2 + 6x2y2 + 2x3 + -2x3 + 9y4 + -9y4
3xy2 + -3xy3 + x2y + 6x2y2 + -2x3 + -9y4 = -1x2y + x2y + -6x2y2 + 6x2y2 + 2x3 + -2x3 + 9y4 + -9y4

Combine like terms: -1x2y + x2y = 0
3xy2 + -3xy3 + x2y + 6x2y2 + -2x3 + -9y4 = 0 + -6x2y2 + 6x2y2 + 2x3 + -2x3 + 9y4 + -9y4
3xy2 + -3xy3 + x2y + 6x2y2 + -2x3 + -9y4 = -6x2y2 + 6x2y2 + 2x3 + -2x3 + 9y4 + -9y4

Combine like terms: -6x2y2 + 6x2y2 = 0
3xy2 + -3xy3 + x2y + 6x2y2 + -2x3 + -9y4 = 0 + 2x3 + -2x3 + 9y4 + -9y4
3xy2 + -3xy3 + x2y + 6x2y2 + -2x3 + -9y4 = 2x3 + -2x3 + 9y4 + -9y4

Combine like terms: 2x3 + -2x3 = 0
3xy2 + -3xy3 + x2y + 6x2y2 + -2x3 + -9y4 = 0 + 9y4 + -9y4
3xy2 + -3xy3 + x2y + 6x2y2 + -2x3 + -9y4 = 9y4 + -9y4

Combine like terms: 9y4 + -9y4 = 0
3xy2 + -3xy3 + x2y + 6x2y2 + -2x3 + -9y4 = 0

The solution to this equation could not be determined.

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