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Simplifying XYZ + YZ + XZ = Z Reorder the terms: XYZ + XZ + YZ = Z Solving XYZ + XZ + YZ = Z Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1YZ' to each side of the equation. XYZ + XZ + YZ + -1YZ = -1YZ + Z Combine like terms: YZ + -1YZ = 0 XYZ + XZ + 0 = -1YZ + Z XYZ + XZ = -1YZ + Z Reorder the terms: XYZ + XZ + YZ + -1Z = -1YZ + YZ + Z + -1Z Combine like terms: -1YZ + YZ = 0 XYZ + XZ + YZ + -1Z = 0 + Z + -1Z XYZ + XZ + YZ + -1Z = Z + -1Z Combine like terms: Z + -1Z = 0 XYZ + XZ + YZ + -1Z = 0 Factor out the Greatest Common Factor (GCF), 'Z'. Z(XY + X + Y + -1) = 0Subproblem 1
Set the factor 'Z' equal to zero and attempt to solve: Simplifying Z = 0 Solving Z = 0 Move all terms containing X to the left, all other terms to the right. Add '-1Z' to each side of the equation. Z + -1Z = 0 + -1Z Remove the zero: 0 = -1Z Simplifying 0 = -1Z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(XY + X + Y + -1)' equal to zero and attempt to solve: Simplifying XY + X + Y + -1 = 0 Reorder the terms: -1 + X + XY + Y = 0 Solving -1 + X + XY + Y = 0 Move all terms containing X to the left, all other terms to the right. Add '1' to each side of the equation. -1 + X + XY + 1 + Y = 0 + 1 Reorder the terms: -1 + 1 + X + XY + Y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + X + XY + Y = 0 + 1 X + XY + Y = 0 + 1 Combine like terms: 0 + 1 = 1 X + XY + Y = 1 Add '-1Y' to each side of the equation. X + XY + Y + -1Y = 1 + -1Y Combine like terms: Y + -1Y = 0 X + XY + 0 = 1 + -1Y X + XY = 1 + -1Y 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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