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Simplifying z2 = -8z Solving z2 = -8z Solving for variable 'z'. Reorder the terms: 8z + z2 = -8z + 8z Combine like terms: -8z + 8z = 0 8z + z2 = 0 Factor out the Greatest Common Factor (GCF), 'z'. z(8 + 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 '(8 + z)' equal to zero and attempt to solve: Simplifying 8 + z = 0 Solving 8 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + z = 0 + -8 z = 0 + -8 Combine like terms: 0 + -8 = -8 z = -8 Simplifying z = -8Solution
z = {0, -8}
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