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Simplifying 9z(z + 9) = 0 Reorder the terms: 9z(9 + z) = 0 (9 * 9z + z * 9z) = 0 (81z + 9z2) = 0 Solving 81z + 9z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '9z'. 9z(9 + z) = 0 Ignore the factor 9.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 '(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 Simplifying z = -9Solution
z = {0, -9}
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