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Simplifying z3 = -9z Solving z3 = -9z Solving for variable 'z'. Reorder the terms: 9z + z3 = -9z + 9z Combine like terms: -9z + 9z = 0 9z + z3 = 0 Factor out the Greatest Common Factor (GCF), 'z'. z(9 + z2) = 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 '(9 + z2)' equal to zero and attempt to solve: Simplifying 9 + z2 = 0 Solving 9 + z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + z2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + z2 = 0 + -9 z2 = 0 + -9 Combine like terms: 0 + -9 = -9 z2 = -9 Simplifying z2 = -9 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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