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

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


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

Multiply (2x + 4y) * (X + -2y)
(2x * (X + -2y) + 4y * (X + -2y))(3x + y) = 0
((X * 2x + -2y * 2x) + 4y * (X + -2y))(3x + y) = 0
((2xX + -4xy) + 4y * (X + -2y))(3x + y) = 0
(2xX + -4xy + (X * 4y + -2y * 4y))(3x + y) = 0
(2xX + -4xy + (4yX + -8y2))(3x + y) = 0
(2xX + -4xy + 4yX + -8y2)(3x + y) = 0

Multiply (2xX + -4xy + 4yX + -8y2) * (3x + y)
(2xX * (3x + y) + -4xy * (3x + y) + 4yX * (3x + y) + -8y2 * (3x + y)) = 0
((3x * 2xX + y * 2xX) + -4xy * (3x + y) + 4yX * (3x + y) + -8y2 * (3x + y)) = 0

Reorder the terms:
((2xyX + 6x2X) + -4xy * (3x + y) + 4yX * (3x + y) + -8y2 * (3x + y)) = 0
((2xyX + 6x2X) + -4xy * (3x + y) + 4yX * (3x + y) + -8y2 * (3x + y)) = 0
(2xyX + 6x2X + (3x * -4xy + y * -4xy) + 4yX * (3x + y) + -8y2 * (3x + y)) = 0

Reorder the terms:
(2xyX + 6x2X + (-4xy2 + -12x2y) + 4yX * (3x + y) + -8y2 * (3x + y)) = 0
(2xyX + 6x2X + (-4xy2 + -12x2y) + 4yX * (3x + y) + -8y2 * (3x + y)) = 0
(2xyX + 6x2X + -4xy2 + -12x2y + (3x * 4yX + y * 4yX) + -8y2 * (3x + y)) = 0
(2xyX + 6x2X + -4xy2 + -12x2y + (12xyX + 4y2X) + -8y2 * (3x + y)) = 0
(2xyX + 6x2X + -4xy2 + -12x2y + 12xyX + 4y2X + (3x * -8y2 + y * -8y2)) = 0
(2xyX + 6x2X + -4xy2 + -12x2y + 12xyX + 4y2X + (-24xy2 + -8y3)) = 0

Reorder the terms:
(2xyX + 12xyX + -4xy2 + -24xy2 + 6x2X + -12x2y + 4y2X + -8y3) = 0

Combine like terms: 2xyX + 12xyX = 14xyX
(14xyX + -4xy2 + -24xy2 + 6x2X + -12x2y + 4y2X + -8y3) = 0

Combine like terms: -4xy2 + -24xy2 = -28xy2
(14xyX + -28xy2 + 6x2X + -12x2y + 4y2X + -8y3) = 0

Solving
14xyX + -28xy2 + 6x2X + -12x2y + 4y2X + -8y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(7xyX + -14xy2 + 3x2X + -6x2y + 2y2X + -4y3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(7xyX + -14xy2 + 3x2X + -6x2y + 2y2X + -4y3)' equal to zero and attempt to solve:

Simplifying
7xyX + -14xy2 + 3x2X + -6x2y + 2y2X + -4y3 = 0

Solving
7xyX + -14xy2 + 3x2X + -6x2y + 2y2X + -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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