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Simplifying 3z4 + -81z = 0 Reorder the terms: -81z + 3z4 = 0 Solving -81z + 3z4 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '3z'. 3z(-27 + z3) = 0 Ignore the factor 3.Subproblem 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 '(-27 + z3)' equal to zero and attempt to solve: Simplifying -27 + z3 = 0 Solving -27 + z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + z3 = 0 + 27 Combine like terms: -27 + 27 = 0 0 + z3 = 0 + 27 z3 = 0 + 27 Combine like terms: 0 + 27 = 27 z3 = 27 Simplifying z3 = 27 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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