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