(6y-4)(5y-3)(11x+8)(8x+1)=360

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Solution for (6y-4)(5y-3)(11x+8)(8x+1)=360 equation: 


Simplifying
(6y + -4)(5y + -3)(11x + 8)(8x + 1) = 360

Reorder the terms:
(-4 + 6y)(5y + -3)(11x + 8)(8x + 1) = 360

Reorder the terms:
(-4 + 6y)(-3 + 5y)(11x + 8)(8x + 1) = 360

Reorder the terms:
(-4 + 6y)(-3 + 5y)(8 + 11x)(8x + 1) = 360

Reorder the terms:
(-4 + 6y)(-3 + 5y)(8 + 11x)(1 + 8x) = 360

Multiply (-4 + 6y) * (-3 + 5y)
(-4(-3 + 5y) + 6y * (-3 + 5y))(8 + 11x)(1 + 8x) = 360
((-3 * -4 + 5y * -4) + 6y * (-3 + 5y))(8 + 11x)(1 + 8x) = 360
((12 + -20y) + 6y * (-3 + 5y))(8 + 11x)(1 + 8x) = 360
(12 + -20y + (-3 * 6y + 5y * 6y))(8 + 11x)(1 + 8x) = 360
(12 + -20y + (-18y + 30y2))(8 + 11x)(1 + 8x) = 360

Combine like terms: -20y + -18y = -38y
(12 + -38y + 30y2)(8 + 11x)(1 + 8x) = 360

Multiply (12 + -38y + 30y2) * (8 + 11x)
(12(8 + 11x) + -38y * (8 + 11x) + 30y2 * (8 + 11x))(1 + 8x) = 360
((8 * 12 + 11x * 12) + -38y * (8 + 11x) + 30y2 * (8 + 11x))(1 + 8x) = 360
((96 + 132x) + -38y * (8 + 11x) + 30y2 * (8 + 11x))(1 + 8x) = 360
(96 + 132x + (8 * -38y + 11x * -38y) + 30y2 * (8 + 11x))(1 + 8x) = 360

Reorder the terms:
(96 + 132x + (-418xy + -304y) + 30y2 * (8 + 11x))(1 + 8x) = 360
(96 + 132x + (-418xy + -304y) + 30y2 * (8 + 11x))(1 + 8x) = 360
(96 + 132x + -418xy + -304y + (8 * 30y2 + 11x * 30y2))(1 + 8x) = 360

Reorder the terms:
(96 + 132x + -418xy + -304y + (330xy2 + 240y2))(1 + 8x) = 360
(96 + 132x + -418xy + -304y + (330xy2 + 240y2))(1 + 8x) = 360

Reorder the terms:
(96 + 132x + -418xy + 330xy2 + -304y + 240y2)(1 + 8x) = 360
(96 + 132x + -418xy + 330xy2 + -304y + 240y2)(1 + 8x) = 360

Multiply (96 + 132x + -418xy + 330xy2 + -304y + 240y2) * (1 + 8x)
(96(1 + 8x) + 132x * (1 + 8x) + -418xy * (1 + 8x) + 330xy2 * (1 + 8x) + -304y * (1 + 8x) + 240y2 * (1 + 8x)) = 360
((1 * 96 + 8x * 96) + 132x * (1 + 8x) + -418xy * (1 + 8x) + 330xy2 * (1 + 8x) + -304y * (1 + 8x) + 240y2 * (1 + 8x)) = 360
((96 + 768x) + 132x * (1 + 8x) + -418xy * (1 + 8x) + 330xy2 * (1 + 8x) + -304y * (1 + 8x) + 240y2 * (1 + 8x)) = 360
(96 + 768x + (1 * 132x + 8x * 132x) + -418xy * (1 + 8x) + 330xy2 * (1 + 8x) + -304y * (1 + 8x) + 240y2 * (1 + 8x)) = 360
(96 + 768x + (132x + 1056x2) + -418xy * (1 + 8x) + 330xy2 * (1 + 8x) + -304y * (1 + 8x) + 240y2 * (1 + 8x)) = 360
(96 + 768x + 132x + 1056x2 + (1 * -418xy + 8x * -418xy) + 330xy2 * (1 + 8x) + -304y * (1 + 8x) + 240y2 * (1 + 8x)) = 360
(96 + 768x + 132x + 1056x2 + (-418xy + -3344x2y) + 330xy2 * (1 + 8x) + -304y * (1 + 8x) + 240y2 * (1 + 8x)) = 360
(96 + 768x + 132x + 1056x2 + -418xy + -3344x2y + (1 * 330xy2 + 8x * 330xy2) + -304y * (1 + 8x) + 240y2 * (1 + 8x)) = 360
(96 + 768x + 132x + 1056x2 + -418xy + -3344x2y + (330xy2 + 2640x2y2) + -304y * (1 + 8x) + 240y2 * (1 + 8x)) = 360
(96 + 768x + 132x + 1056x2 + -418xy + -3344x2y + 330xy2 + 2640x2y2 + (1 * -304y + 8x * -304y) + 240y2 * (1 + 8x)) = 360

Reorder the terms:
(96 + 768x + 132x + 1056x2 + -418xy + -3344x2y + 330xy2 + 2640x2y2 + (-2432xy + -304y) + 240y2 * (1 + 8x)) = 360
(96 + 768x + 132x + 1056x2 + -418xy + -3344x2y + 330xy2 + 2640x2y2 + (-2432xy + -304y) + 240y2 * (1 + 8x)) = 360
(96 + 768x + 132x + 1056x2 + -418xy + -3344x2y + 330xy2 + 2640x2y2 + -2432xy + -304y + (1 * 240y2 + 8x * 240y2)) = 360

Reorder the terms:
(96 + 768x + 132x + 1056x2 + -418xy + -3344x2y + 330xy2 + 2640x2y2 + -2432xy + -304y + (1920xy2 + 240y2)) = 360
(96 + 768x + 132x + 1056x2 + -418xy + -3344x2y + 330xy2 + 2640x2y2 + -2432xy + -304y + (1920xy2 + 240y2)) = 360

Reorder the terms:
(96 + 768x + 132x + -418xy + -2432xy + 330xy2 + 1920xy2 + 1056x2 + -3344x2y + 2640x2y2 + -304y + 240y2) = 360

Combine like terms: 768x + 132x = 900x
(96 + 900x + -418xy + -2432xy + 330xy2 + 1920xy2 + 1056x2 + -3344x2y + 2640x2y2 + -304y + 240y2) = 360

Combine like terms: -418xy + -2432xy = -2850xy
(96 + 900x + -2850xy + 330xy2 + 1920xy2 + 1056x2 + -3344x2y + 2640x2y2 + -304y + 240y2) = 360

Combine like terms: 330xy2 + 1920xy2 = 2250xy2
(96 + 900x + -2850xy + 2250xy2 + 1056x2 + -3344x2y + 2640x2y2 + -304y + 240y2) = 360

Solving
96 + 900x + -2850xy + 2250xy2 + 1056x2 + -3344x2y + 2640x2y2 + -304y + 240y2 = 360

Solving for variable 'x'.

Reorder the terms:
96 + -360 + 900x + -2850xy + 2250xy2 + 1056x2 + -3344x2y + 2640x2y2 + -304y + 240y2 = 360 + -360

Combine like terms: 96 + -360 = -264
-264 + 900x + -2850xy + 2250xy2 + 1056x2 + -3344x2y + 2640x2y2 + -304y + 240y2 = 360 + -360

Combine like terms: 360 + -360 = 0
-264 + 900x + -2850xy + 2250xy2 + 1056x2 + -3344x2y + 2640x2y2 + -304y + 240y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-132 + 450x + -1425xy + 1125xy2 + 528x2 + -1672x2y + 1320x2y2 + -152y + 120y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-132 + 450x + -1425xy + 1125xy2 + 528x2 + -1672x2y + 1320x2y2 + -152y + 120y2)' equal to zero and attempt to solve:

Simplifying
-132 + 450x + -1425xy + 1125xy2 + 528x2 + -1672x2y + 1320x2y2 + -152y + 120y2 = 0

Solving
-132 + 450x + -1425xy + 1125xy2 + 528x2 + -1672x2y + 1320x2y2 + -152y + 120y2 = 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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