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Simplifying 0 = 22(3x + -1y)(x2 + -1xy + y2) Reorder the terms: 0 = 22(3x + -1y)(-1xy + x2 + y2) Multiply (3x + -1y) * (-1xy + x2 + y2) 0 = 22(3x * (-1xy + x2 + y2) + -1y * (-1xy + x2 + y2)) 0 = 22((-1xy * 3x + x2 * 3x + y2 * 3x) + -1y * (-1xy + x2 + y2)) Reorder the terms: 0 = 22((3xy2 + -3x2y + 3x3) + -1y * (-1xy + x2 + y2)) 0 = 22((3xy2 + -3x2y + 3x3) + -1y * (-1xy + x2 + y2)) 0 = 22(3xy2 + -3x2y + 3x3 + (-1xy * -1y + x2 * -1y + y2 * -1y)) 0 = 22(3xy2 + -3x2y + 3x3 + (1xy2 + -1x2y + -1y3)) Reorder the terms: 0 = 22(3xy2 + 1xy2 + -3x2y + -1x2y + 3x3 + -1y3) Combine like terms: 3xy2 + 1xy2 = 4xy2 0 = 22(4xy2 + -3x2y + -1x2y + 3x3 + -1y3) Combine like terms: -3x2y + -1x2y = -4x2y 0 = 22(4xy2 + -4x2y + 3x3 + -1y3) 0 = (4xy2 * 22 + -4x2y * 22 + 3x3 * 22 + -1y3 * 22) 0 = (88xy2 + -88x2y + 66x3 + -22y3) Solving 0 = 88xy2 + -88x2y + 66x3 + -22y3 Solving for variable 'x'. Remove the zero: -88xy2 + 88x2y + -66x3 + 22y3 = 88xy2 + -88x2y + 66x3 + -22y3 + -88xy2 + 88x2y + -66x3 + 22y3 Reorder the terms: -88xy2 + 88x2y + -66x3 + 22y3 = 88xy2 + -88xy2 + -88x2y + 88x2y + 66x3 + -66x3 + -22y3 + 22y3 Combine like terms: 88xy2 + -88xy2 = 0 -88xy2 + 88x2y + -66x3 + 22y3 = 0 + -88x2y + 88x2y + 66x3 + -66x3 + -22y3 + 22y3 -88xy2 + 88x2y + -66x3 + 22y3 = -88x2y + 88x2y + 66x3 + -66x3 + -22y3 + 22y3 Combine like terms: -88x2y + 88x2y = 0 -88xy2 + 88x2y + -66x3 + 22y3 = 0 + 66x3 + -66x3 + -22y3 + 22y3 -88xy2 + 88x2y + -66x3 + 22y3 = 66x3 + -66x3 + -22y3 + 22y3 Combine like terms: 66x3 + -66x3 = 0 -88xy2 + 88x2y + -66x3 + 22y3 = 0 + -22y3 + 22y3 -88xy2 + 88x2y + -66x3 + 22y3 = -22y3 + 22y3 Combine like terms: -22y3 + 22y3 = 0 -88xy2 + 88x2y + -66x3 + 22y3 = 0 Factor out the Greatest Common Factor (GCF), '22'. 22(-4xy2 + 4x2y + -3x3 + y3) = 0 Ignore the factor 22.Subproblem 1
Set the factor '(-4xy2 + 4x2y + -3x3 + y3)' equal to zero and attempt to solve: Simplifying -4xy2 + 4x2y + -3x3 + y3 = 0 Solving -4xy2 + 4x2y + -3x3 + y3 = 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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