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Simplifying 3xyz + 2zxy + -1zyx + 2xy = 0 Reorder the terms: 2xy + 3xyz + 2xyz + -1xyz = 0 Combine like terms: 3xyz + 2xyz = 5xyz 2xy + 5xyz + -1xyz = 0 Combine like terms: 5xyz + -1xyz = 4xyz 2xy + 4xyz = 0 Solving 2xy + 4xyz = 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), '2xy'. 2xy(1 + 2z) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 0 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 '(1 + 2z)' equal to zero and attempt to solve: Simplifying 1 + 2z = 0 Solving 1 + 2z = 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 + 2z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2z = 0 + -1 2z = 0 + -1 Combine like terms: 0 + -1 = -1 2z = -1 Add '-2z' to each side of the equation. 2z + -2z = -1 + -2z Combine like terms: 2z + -2z = 0 0 = -1 + -2z Simplifying 0 = -1 + -2z 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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