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Simplifying 0 = (6x3y3 + -12x2 + 8y3)(-7x3y3 + -3x2y2 + 6x2 + -13y3) Reorder the terms: 0 = (-12x2 + 6x3y3 + 8y3)(-7x3y3 + -3x2y2 + 6x2 + -13y3) Reorder the terms: 0 = (-12x2 + 6x3y3 + 8y3)(6x2 + -3x2y2 + -7x3y3 + -13y3) Multiply (-12x2 + 6x3y3 + 8y3) * (6x2 + -3x2y2 + -7x3y3 + -13y3) 0 = (-12x2 * (6x2 + -3x2y2 + -7x3y3 + -13y3) + 6x3y3 * (6x2 + -3x2y2 + -7x3y3 + -13y3) + 8y3 * (6x2 + -3x2y2 + -7x3y3 + -13y3)) 0 = ((6x2 * -12x2 + -3x2y2 * -12x2 + -7x3y3 * -12x2 + -13y3 * -12x2) + 6x3y3 * (6x2 + -3x2y2 + -7x3y3 + -13y3) + 8y3 * (6x2 + -3x2y2 + -7x3y3 + -13y3)) Reorder the terms: 0 = ((156x2y3 + -72x4 + 36x4y2 + 84x5y3) + 6x3y3 * (6x2 + -3x2y2 + -7x3y3 + -13y3) + 8y3 * (6x2 + -3x2y2 + -7x3y3 + -13y3)) 0 = ((156x2y3 + -72x4 + 36x4y2 + 84x5y3) + 6x3y3 * (6x2 + -3x2y2 + -7x3y3 + -13y3) + 8y3 * (6x2 + -3x2y2 + -7x3y3 + -13y3)) 0 = (156x2y3 + -72x4 + 36x4y2 + 84x5y3 + (6x2 * 6x3y3 + -3x2y2 * 6x3y3 + -7x3y3 * 6x3y3 + -13y3 * 6x3y3) + 8y3 * (6x2 + -3x2y2 + -7x3y3 + -13y3)) Reorder the terms: 0 = (156x2y3 + -72x4 + 36x4y2 + 84x5y3 + (-78x3y6 + 36x5y3 + -18x5y5 + -42x6y6) + 8y3 * (6x2 + -3x2y2 + -7x3y3 + -13y3)) 0 = (156x2y3 + -72x4 + 36x4y2 + 84x5y3 + (-78x3y6 + 36x5y3 + -18x5y5 + -42x6y6) + 8y3 * (6x2 + -3x2y2 + -7x3y3 + -13y3)) 0 = (156x2y3 + -72x4 + 36x4y2 + 84x5y3 + -78x3y6 + 36x5y3 + -18x5y5 + -42x6y6 + (6x2 * 8y3 + -3x2y2 * 8y3 + -7x3y3 * 8y3 + -13y3 * 8y3)) 0 = (156x2y3 + -72x4 + 36x4y2 + 84x5y3 + -78x3y6 + 36x5y3 + -18x5y5 + -42x6y6 + (48x2y3 + -24x2y5 + -56x3y6 + -104y6)) Reorder the terms: 0 = (156x2y3 + 48x2y3 + -24x2y5 + -78x3y6 + -56x3y6 + -72x4 + 36x4y2 + 84x5y3 + 36x5y3 + -18x5y5 + -42x6y6 + -104y6) Combine like terms: 156x2y3 + 48x2y3 = 204x2y3 0 = (204x2y3 + -24x2y5 + -78x3y6 + -56x3y6 + -72x4 + 36x4y2 + 84x5y3 + 36x5y3 + -18x5y5 + -42x6y6 + -104y6) Combine like terms: -78x3y6 + -56x3y6 = -134x3y6 0 = (204x2y3 + -24x2y5 + -134x3y6 + -72x4 + 36x4y2 + 84x5y3 + 36x5y3 + -18x5y5 + -42x6y6 + -104y6) Combine like terms: 84x5y3 + 36x5y3 = 120x5y3 0 = (204x2y3 + -24x2y5 + -134x3y6 + -72x4 + 36x4y2 + 120x5y3 + -18x5y5 + -42x6y6 + -104y6) Solving 0 = 204x2y3 + -24x2y5 + -134x3y6 + -72x4 + 36x4y2 + 120x5y3 + -18x5y5 + -42x6y6 + -104y6 Solving for variable 'x'. Remove the zero: -204x2y3 + 24x2y5 + 134x3y6 + 72x4 + -36x4y2 + -120x5y3 + 18x5y5 + 42x6y6 + 104y6 = 204x2y3 + -24x2y5 + -134x3y6 + -72x4 + 36x4y2 + 120x5y3 + -18x5y5 + -42x6y6 + -104y6 + -204x2y3 + 24x2y5 + 134x3y6 + 72x4 + -36x4y2 + -120x5y3 + 18x5y5 + 42x6y6 + 104y6 Reorder the terms: -204x2y3 + 24x2y5 + 134x3y6 + 72x4 + -36x4y2 + -120x5y3 + 18x5y5 + 42x6y6 + 104y6 = 204x2y3 + -204x2y3 + -24x2y5 + 24x2y5 + -134x3y6 + 134x3y6 + -72x4 + 72x4 + 36x4y2 + -36x4y2 + 120x5y3 + -120x5y3 + -18x5y5 + 18x5y5 + -42x6y6 + 42x6y6 + -104y6 + 104y6 Combine like terms: 204x2y3 + -204x2y3 = 0 -204x2y3 + 24x2y5 + 134x3y6 + 72x4 + -36x4y2 + -120x5y3 + 18x5y5 + 42x6y6 + 104y6 = 0 + -24x2y5 + 24x2y5 + -134x3y6 + 134x3y6 + -72x4 + 72x4 + 36x4y2 + -36x4y2 + 120x5y3 + -120x5y3 + -18x5y5 + 18x5y5 + -42x6y6 + 42x6y6 + -104y6 + 104y6 -204x2y3 + 24x2y5 + 134x3y6 + 72x4 + -36x4y2 + -120x5y3 + 18x5y5 + 42x6y6 + 104y6 = -24x2y5 + 24x2y5 + -134x3y6 + 134x3y6 + -72x4 + 72x4 + 36x4y2 + -36x4y2 + 120x5y3 + -120x5y3 + -18x5y5 + 18x5y5 + -42x6y6 + 42x6y6 + -104y6 + 104y6 Combine like terms: -24x2y5 + 24x2y5 = 0 -204x2y3 + 24x2y5 + 134x3y6 + 72x4 + -36x4y2 + -120x5y3 + 18x5y5 + 42x6y6 + 104y6 = 0 + -134x3y6 + 134x3y6 + -72x4 + 72x4 + 36x4y2 + -36x4y2 + 120x5y3 + -120x5y3 + -18x5y5 + 18x5y5 + -42x6y6 + 42x6y6 + -104y6 + 104y6 -204x2y3 + 24x2y5 + 134x3y6 + 72x4 + -36x4y2 + -120x5y3 + 18x5y5 + 42x6y6 + 104y6 = -134x3y6 + 134x3y6 + -72x4 + 72x4 + 36x4y2 + -36x4y2 + 120x5y3 + -120x5y3 + -18x5y5 + 18x5y5 + -42x6y6 + 42x6y6 + -104y6 + 104y6 Combine like terms: -134x3y6 + 134x3y6 = 0 -204x2y3 + 24x2y5 + 134x3y6 + 72x4 + -36x4y2 + -120x5y3 + 18x5y5 + 42x6y6 + 104y6 = 0 + -72x4 + 72x4 + 36x4y2 + -36x4y2 + 120x5y3 + -120x5y3 + -18x5y5 + 18x5y5 + -42x6y6 + 42x6y6 + -104y6 + 104y6 -204x2y3 + 24x2y5 + 134x3y6 + 72x4 + -36x4y2 + -120x5y3 + 18x5y5 + 42x6y6 + 104y6 = -72x4 + 72x4 + 36x4y2 + -36x4y2 + 120x5y3 + -120x5y3 + -18x5y5 + 18x5y5 + -42x6y6 + 42x6y6 + -104y6 + 104y6 Combine like terms: -72x4 + 72x4 = 0 -204x2y3 + 24x2y5 + 134x3y6 + 72x4 + -36x4y2 + -120x5y3 + 18x5y5 + 42x6y6 + 104y6 = 0 + 36x4y2 + -36x4y2 + 120x5y3 + -120x5y3 + -18x5y5 + 18x5y5 + -42x6y6 + 42x6y6 + -104y6 + 104y6 -204x2y3 + 24x2y5 + 134x3y6 + 72x4 + -36x4y2 + -120x5y3 + 18x5y5 + 42x6y6 + 104y6 = 36x4y2 + -36x4y2 + 120x5y3 + -120x5y3 + -18x5y5 + 18x5y5 + -42x6y6 + 42x6y6 + -104y6 + 104y6 Combine like terms: 36x4y2 + -36x4y2 = 0 -204x2y3 + 24x2y5 + 134x3y6 + 72x4 + -36x4y2 + -120x5y3 + 18x5y5 + 42x6y6 + 104y6 = 0 + 120x5y3 + -120x5y3 + -18x5y5 + 18x5y5 + -42x6y6 + 42x6y6 + -104y6 + 104y6 -204x2y3 + 24x2y5 + 134x3y6 + 72x4 + -36x4y2 + -120x5y3 + 18x5y5 + 42x6y6 + 104y6 = 120x5y3 + -120x5y3 + -18x5y5 + 18x5y5 + -42x6y6 + 42x6y6 + -104y6 + 104y6 Combine like terms: 120x5y3 + -120x5y3 = 0 -204x2y3 + 24x2y5 + 134x3y6 + 72x4 + -36x4y2 + -120x5y3 + 18x5y5 + 42x6y6 + 104y6 = 0 + -18x5y5 + 18x5y5 + -42x6y6 + 42x6y6 + -104y6 + 104y6 -204x2y3 + 24x2y5 + 134x3y6 + 72x4 + -36x4y2 + -120x5y3 + 18x5y5 + 42x6y6 + 104y6 = -18x5y5 + 18x5y5 + -42x6y6 + 42x6y6 + -104y6 + 104y6 Combine like terms: -18x5y5 + 18x5y5 = 0 -204x2y3 + 24x2y5 + 134x3y6 + 72x4 + -36x4y2 + -120x5y3 + 18x5y5 + 42x6y6 + 104y6 = 0 + -42x6y6 + 42x6y6 + -104y6 + 104y6 -204x2y3 + 24x2y5 + 134x3y6 + 72x4 + -36x4y2 + -120x5y3 + 18x5y5 + 42x6y6 + 104y6 = -42x6y6 + 42x6y6 + -104y6 + 104y6 Combine like terms: -42x6y6 + 42x6y6 = 0 -204x2y3 + 24x2y5 + 134x3y6 + 72x4 + -36x4y2 + -120x5y3 + 18x5y5 + 42x6y6 + 104y6 = 0 + -104y6 + 104y6 -204x2y3 + 24x2y5 + 134x3y6 + 72x4 + -36x4y2 + -120x5y3 + 18x5y5 + 42x6y6 + 104y6 = -104y6 + 104y6 Combine like terms: -104y6 + 104y6 = 0 -204x2y3 + 24x2y5 + 134x3y6 + 72x4 + -36x4y2 + -120x5y3 + 18x5y5 + 42x6y6 + 104y6 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-102x2y3 + 12x2y5 + 67x3y6 + 36x4 + -18x4y2 + -60x5y3 + 9x5y5 + 21x6y6 + 52y6) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-102x2y3 + 12x2y5 + 67x3y6 + 36x4 + -18x4y2 + -60x5y3 + 9x5y5 + 21x6y6 + 52y6)' equal to zero and attempt to solve: Simplifying -102x2y3 + 12x2y5 + 67x3y6 + 36x4 + -18x4y2 + -60x5y3 + 9x5y5 + 21x6y6 + 52y6 = 0 Solving -102x2y3 + 12x2y5 + 67x3y6 + 36x4 + -18x4y2 + -60x5y3 + 9x5y5 + 21x6y6 + 52y6 = 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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