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Simplifying 21xyz + -81xy = 0 Reorder the terms: -81xy + 21xyz = 0 Solving -81xy + 21xyz = 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), '3xy'. 3xy(-27 + 7z) = 0 Ignore the factor 3.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 '(-27 + 7z)' equal to zero and attempt to solve: Simplifying -27 + 7z = 0 Solving -27 + 7z = 0 Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 7z = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 7z = 0 + 27 7z = 0 + 27 Combine like terms: 0 + 27 = 27 7z = 27 Add '-7z' to each side of the equation. 7z + -7z = 27 + -7z Combine like terms: 7z + -7z = 0 0 = 27 + -7z Simplifying 0 = 27 + -7z 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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