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Simplifying Z(3z + 6) = 0 Reorder the terms: Z(6 + 3z) = 0 (6 * Z + 3z * Z) = 0 (6Z + 3zZ) = 0 Solving 6Z + 3zZ = 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), '3Z'. 3Z(2 + z) = 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 '(2 + z)' equal to zero and attempt to solve: Simplifying 2 + z = 0 Solving 2 + z = 0 Move all terms containing Z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + z = 0 + -2 z = 0 + -2 Combine like terms: 0 + -2 = -2 z = -2 Add '-1z' to each side of the equation. z + -1z = -2 + -1z Combine like terms: z + -1z = 0 0 = -2 + -1z Simplifying 0 = -2 + -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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