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Simplifying Z(z + 9) = 0 Reorder the terms: Z(9 + z) = 0 (9 * Z + z * Z) = 0 (9Z + zZ) = 0 Solving 9Z + zZ = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'Z'. Z(9 + z) = 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 + z)' equal to zero and attempt to solve: Simplifying 9 + z = 0 Solving 9 + z = 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 + z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + z = 0 + -9 z = 0 + -9 Combine like terms: 0 + -9 = -9 z = -9 Add '-1z' to each side of the equation. z + -1z = -9 + -1z Combine like terms: z + -1z = 0 0 = -9 + -1z Simplifying 0 = -9 + -1z 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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