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Simplifying 5Z2 = 8Z Solving 5Z2 = 8Z Solving for variable 'Z'. Reorder the terms: -8Z + 5Z2 = 8Z + -8Z Combine like terms: 8Z + -8Z = 0 -8Z + 5Z2 = 0 Factor out the Greatest Common Factor (GCF), 'Z'. Z(-8 + 5Z) = 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 + 5Z)' equal to zero and attempt to solve: Simplifying -8 + 5Z = 0 Solving -8 + 5Z = 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 + 5Z = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5Z = 0 + 8 5Z = 0 + 8 Combine like terms: 0 + 8 = 8 5Z = 8 Divide each side by '5'. Z = 1.6 Simplifying Z = 1.6Solution
Z = {0, 1.6}
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