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Simplifying xy + -1xy + xz + -1x + -2x + -1xz + 2x + -2xz + -1x = 0 Reorder the terms: -1x + -2x + 2x + -1x + xy + -1xy + xz + -1xz + -2xz = 0 Combine like terms: -1x + -2x = -3x -3x + 2x + -1x + xy + -1xy + xz + -1xz + -2xz = 0 Combine like terms: -3x + 2x = -1x -1x + -1x + xy + -1xy + xz + -1xz + -2xz = 0 Combine like terms: -1x + -1x = -2x -2x + xy + -1xy + xz + -1xz + -2xz = 0 Combine like terms: xy + -1xy = 0 -2x + 0 + xz + -1xz + -2xz = 0 -2x + xz + -1xz + -2xz = 0 Combine like terms: xz + -1xz = 0 -2x + 0 + -2xz = 0 -2x + -2xz = 0 Solving -2x + -2xz = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '-2x'. -2x(1 + z) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(1 + z)' equal to zero and attempt to solve: Simplifying 1 + z = 0 Solving 1 + z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + z = 0 + -1 z = 0 + -1 Combine like terms: 0 + -1 = -1 z = -1 Add '-1z' to each side of the equation. z + -1z = -1 + -1z Combine like terms: z + -1z = 0 0 = -1 + -1z Simplifying 0 = -1 + -1z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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