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

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


Simplifying
(2x + -2y)(3x + 4y)(2x + -1y) = 0

Multiply (2x + -2y) * (3x + 4y)
(2x * (3x + 4y) + -2y * (3x + 4y))(2x + -1y) = 0
((3x * 2x + 4y * 2x) + -2y * (3x + 4y))(2x + -1y) = 0

Reorder the terms:
((8xy + 6x2) + -2y * (3x + 4y))(2x + -1y) = 0
((8xy + 6x2) + -2y * (3x + 4y))(2x + -1y) = 0
(8xy + 6x2 + (3x * -2y + 4y * -2y))(2x + -1y) = 0
(8xy + 6x2 + (-6xy + -8y2))(2x + -1y) = 0

Reorder the terms:
(8xy + -6xy + 6x2 + -8y2)(2x + -1y) = 0

Combine like terms: 8xy + -6xy = 2xy
(2xy + 6x2 + -8y2)(2x + -1y) = 0

Multiply (2xy + 6x2 + -8y2) * (2x + -1y)
(2xy * (2x + -1y) + 6x2 * (2x + -1y) + -8y2 * (2x + -1y)) = 0
((2x * 2xy + -1y * 2xy) + 6x2 * (2x + -1y) + -8y2 * (2x + -1y)) = 0

Reorder the terms:
((-2xy2 + 4x2y) + 6x2 * (2x + -1y) + -8y2 * (2x + -1y)) = 0
((-2xy2 + 4x2y) + 6x2 * (2x + -1y) + -8y2 * (2x + -1y)) = 0
(-2xy2 + 4x2y + (2x * 6x2 + -1y * 6x2) + -8y2 * (2x + -1y)) = 0

Reorder the terms:
(-2xy2 + 4x2y + (-6x2y + 12x3) + -8y2 * (2x + -1y)) = 0
(-2xy2 + 4x2y + (-6x2y + 12x3) + -8y2 * (2x + -1y)) = 0
(-2xy2 + 4x2y + -6x2y + 12x3 + (2x * -8y2 + -1y * -8y2)) = 0
(-2xy2 + 4x2y + -6x2y + 12x3 + (-16xy2 + 8y3)) = 0

Reorder the terms:
(-2xy2 + -16xy2 + 4x2y + -6x2y + 12x3 + 8y3) = 0

Combine like terms: -2xy2 + -16xy2 = -18xy2
(-18xy2 + 4x2y + -6x2y + 12x3 + 8y3) = 0

Combine like terms: 4x2y + -6x2y = -2x2y
(-18xy2 + -2x2y + 12x3 + 8y3) = 0

Solving
-18xy2 + -2x2y + 12x3 + 8y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-9xy2 + -1x2y + 6x3 + 4y3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-9xy2 + -1x2y + 6x3 + 4y3)' equal to zero and attempt to solve:

Simplifying
-9xy2 + -1x2y + 6x3 + 4y3 = 0

Solving
-9xy2 + -1x2y + 6x3 + 4y3 = 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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