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Simplifying (5x + -4c)(6x + 3c)(2x + -8c)(9x + -1c)(8x + 9) = 0 Reorder the terms: (-4c + 5x)(6x + 3c)(2x + -8c)(9x + -1c)(8x + 9) = 0 Reorder the terms: (-4c + 5x)(3c + 6x)(2x + -8c)(9x + -1c)(8x + 9) = 0 Reorder the terms: (-4c + 5x)(3c + 6x)(-8c + 2x)(9x + -1c)(8x + 9) = 0 Reorder the terms: (-4c + 5x)(3c + 6x)(-8c + 2x)(-1c + 9x)(8x + 9) = 0 Reorder the terms: (-4c + 5x)(3c + 6x)(-8c + 2x)(-1c + 9x)(9 + 8x) = 0 Multiply (-4c + 5x) * (3c + 6x) (-4c * (3c + 6x) + 5x * (3c + 6x))(-8c + 2x)(-1c + 9x)(9 + 8x) = 0 ((3c * -4c + 6x * -4c) + 5x * (3c + 6x))(-8c + 2x)(-1c + 9x)(9 + 8x) = 0 Reorder the terms: ((-24cx + -12c2) + 5x * (3c + 6x))(-8c + 2x)(-1c + 9x)(9 + 8x) = 0 ((-24cx + -12c2) + 5x * (3c + 6x))(-8c + 2x)(-1c + 9x)(9 + 8x) = 0 (-24cx + -12c2 + (3c * 5x + 6x * 5x))(-8c + 2x)(-1c + 9x)(9 + 8x) = 0 (-24cx + -12c2 + (15cx + 30x2))(-8c + 2x)(-1c + 9x)(9 + 8x) = 0 Reorder the terms: (-24cx + 15cx + -12c2 + 30x2)(-8c + 2x)(-1c + 9x)(9 + 8x) = 0 Combine like terms: -24cx + 15cx = -9cx (-9cx + -12c2 + 30x2)(-8c + 2x)(-1c + 9x)(9 + 8x) = 0 Multiply (-9cx + -12c2 + 30x2) * (-8c + 2x) (-9cx * (-8c + 2x) + -12c2 * (-8c + 2x) + 30x2 * (-8c + 2x))(-1c + 9x)(9 + 8x) = 0 ((-8c * -9cx + 2x * -9cx) + -12c2 * (-8c + 2x) + 30x2 * (-8c + 2x))(-1c + 9x)(9 + 8x) = 0 Reorder the terms: ((-18cx2 + 72c2x) + -12c2 * (-8c + 2x) + 30x2 * (-8c + 2x))(-1c + 9x)(9 + 8x) = 0 ((-18cx2 + 72c2x) + -12c2 * (-8c + 2x) + 30x2 * (-8c + 2x))(-1c + 9x)(9 + 8x) = 0 (-18cx2 + 72c2x + (-8c * -12c2 + 2x * -12c2) + 30x2 * (-8c + 2x))(-1c + 9x)(9 + 8x) = 0 Reorder the terms: (-18cx2 + 72c2x + (-24c2x + 96c3) + 30x2 * (-8c + 2x))(-1c + 9x)(9 + 8x) = 0 (-18cx2 + 72c2x + (-24c2x + 96c3) + 30x2 * (-8c + 2x))(-1c + 9x)(9 + 8x) = 0 (-18cx2 + 72c2x + -24c2x + 96c3 + (-8c * 30x2 + 2x * 30x2))(-1c + 9x)(9 + 8x) = 0 (-18cx2 + 72c2x + -24c2x + 96c3 + (-240cx2 + 60x3))(-1c + 9x)(9 + 8x) = 0 Reorder the terms: (-18cx2 + -240cx2 + 72c2x + -24c2x + 96c3 + 60x3)(-1c + 9x)(9 + 8x) = 0 Combine like terms: -18cx2 + -240cx2 = -258cx2 (-258cx2 + 72c2x + -24c2x + 96c3 + 60x3)(-1c + 9x)(9 + 8x) = 0 Combine like terms: 72c2x + -24c2x = 48c2x (-258cx2 + 48c2x + 96c3 + 60x3)(-1c + 9x)(9 + 8x) = 0 Multiply (-258cx2 + 48c2x + 96c3 + 60x3) * (-1c + 9x) (-258cx2 * (-1c + 9x) + 48c2x * (-1c + 9x) + 96c3 * (-1c + 9x) + 60x3 * (-1c + 9x))(9 + 8x) = 0 ((-1c * -258cx2 + 9x * -258cx2) + 48c2x * (-1c + 9x) + 96c3 * (-1c + 9x) + 60x3 * (-1c + 9x))(9 + 8x) = 0 Reorder the terms: ((-2322cx3 + 258c2x2) + 48c2x * (-1c + 9x) + 96c3 * (-1c + 9x) + 60x3 * (-1c + 9x))(9 + 8x) = 0 ((-2322cx3 + 258c2x2) + 48c2x * (-1c + 9x) + 96c3 * (-1c + 9x) + 60x3 * (-1c + 9x))(9 + 8x) = 0 (-2322cx3 + 258c2x2 + (-1c * 48c2x + 9x * 48c2x) + 96c3 * (-1c + 9x) + 60x3 * (-1c + 9x))(9 + 8x) = 0 Reorder the terms: (-2322cx3 + 258c2x2 + (432c2x2 + -48c3x) + 96c3 * (-1c + 9x) + 60x3 * (-1c + 9x))(9 + 8x) = 0 (-2322cx3 + 258c2x2 + (432c2x2 + -48c3x) + 96c3 * (-1c + 9x) + 60x3 * (-1c + 9x))(9 + 8x) = 0 (-2322cx3 + 258c2x2 + 432c2x2 + -48c3x + (-1c * 96c3 + 9x * 96c3) + 60x3 * (-1c + 9x))(9 + 8x) = 0 Reorder the terms: (-2322cx3 + 258c2x2 + 432c2x2 + -48c3x + (864c3x + -96c4) + 60x3 * (-1c + 9x))(9 + 8x) = 0 (-2322cx3 + 258c2x2 + 432c2x2 + -48c3x + (864c3x + -96c4) + 60x3 * (-1c + 9x))(9 + 8x) = 0 (-2322cx3 + 258c2x2 + 432c2x2 + -48c3x + 864c3x + -96c4 + (-1c * 60x3 + 9x * 60x3))(9 + 8x) = 0 (-2322cx3 + 258c2x2 + 432c2x2 + -48c3x + 864c3x + -96c4 + (-60cx3 + 540x4))(9 + 8x) = 0 Reorder the terms: (-2322cx3 + -60cx3 + 258c2x2 + 432c2x2 + -48c3x + 864c3x + -96c4 + 540x4)(9 + 8x) = 0 Combine like terms: -2322cx3 + -60cx3 = -2382cx3 (-2382cx3 + 258c2x2 + 432c2x2 + -48c3x + 864c3x + -96c4 + 540x4)(9 + 8x) = 0 Combine like terms: 258c2x2 + 432c2x2 = 690c2x2 (-2382cx3 + 690c2x2 + -48c3x + 864c3x + -96c4 + 540x4)(9 + 8x) = 0 Combine like terms: -48c3x + 864c3x = 816c3x (-2382cx3 + 690c2x2 + 816c3x + -96c4 + 540x4)(9 + 8x) = 0 Multiply (-2382cx3 + 690c2x2 + 816c3x + -96c4 + 540x4) * (9 + 8x) (-2382cx3 * (9 + 8x) + 690c2x2 * (9 + 8x) + 816c3x * (9 + 8x) + -96c4 * (9 + 8x) + 540x4 * (9 + 8x)) = 0 ((9 * -2382cx3 + 8x * -2382cx3) + 690c2x2 * (9 + 8x) + 816c3x * (9 + 8x) + -96c4 * (9 + 8x) + 540x4 * (9 + 8x)) = 0 ((-21438cx3 + -19056cx4) + 690c2x2 * (9 + 8x) + 816c3x * (9 + 8x) + -96c4 * (9 + 8x) + 540x4 * (9 + 8x)) = 0 (-21438cx3 + -19056cx4 + (9 * 690c2x2 + 8x * 690c2x2) + 816c3x * (9 + 8x) + -96c4 * (9 + 8x) + 540x4 * (9 + 8x)) = 0 (-21438cx3 + -19056cx4 + (6210c2x2 + 5520c2x3) + 816c3x * (9 + 8x) + -96c4 * (9 + 8x) + 540x4 * (9 + 8x)) = 0 (-21438cx3 + -19056cx4 + 6210c2x2 + 5520c2x3 + (9 * 816c3x + 8x * 816c3x) + -96c4 * (9 + 8x) + 540x4 * (9 + 8x)) = 0 (-21438cx3 + -19056cx4 + 6210c2x2 + 5520c2x3 + (7344c3x + 6528c3x2) + -96c4 * (9 + 8x) + 540x4 * (9 + 8x)) = 0 (-21438cx3 + -19056cx4 + 6210c2x2 + 5520c2x3 + 7344c3x + 6528c3x2 + (9 * -96c4 + 8x * -96c4) + 540x4 * (9 + 8x)) = 0 (-21438cx3 + -19056cx4 + 6210c2x2 + 5520c2x3 + 7344c3x + 6528c3x2 + (-864c4 + -768c4x) + 540x4 * (9 + 8x)) = 0 (-21438cx3 + -19056cx4 + 6210c2x2 + 5520c2x3 + 7344c3x + 6528c3x2 + -864c4 + -768c4x + (9 * 540x4 + 8x * 540x4)) = 0 (-21438cx3 + -19056cx4 + 6210c2x2 + 5520c2x3 + 7344c3x + 6528c3x2 + -864c4 + -768c4x + (4860x4 + 4320x5)) = 0 (-21438cx3 + -19056cx4 + 6210c2x2 + 5520c2x3 + 7344c3x + 6528c3x2 + -864c4 + -768c4x + 4860x4 + 4320x5) = 0 Solving -21438cx3 + -19056cx4 + 6210c2x2 + 5520c2x3 + 7344c3x + 6528c3x2 + -864c4 + -768c4x + 4860x4 + 4320x5 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '6'. 6(-3573cx3 + -3176cx4 + 1035c2x2 + 920c2x3 + 1224c3x + 1088c3x2 + -144c4 + -128c4x + 810x4 + 720x5) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-3573cx3 + -3176cx4 + 1035c2x2 + 920c2x3 + 1224c3x + 1088c3x2 + -144c4 + -128c4x + 810x4 + 720x5)' equal to zero and attempt to solve: Simplifying -3573cx3 + -3176cx4 + 1035c2x2 + 920c2x3 + 1224c3x + 1088c3x2 + -144c4 + -128c4x + 810x4 + 720x5 = 0 Solving -3573cx3 + -3176cx4 + 1035c2x2 + 920c2x3 + 1224c3x + 1088c3x2 + -144c4 + -128c4x + 810x4 + 720x5 = 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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