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