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Simplifying 27z2 + -46z = 0 Reorder the terms: -46z + 27z2 = 0 Solving -46z + 27z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(-46 + 27z) = 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 '(-46 + 27z)' equal to zero and attempt to solve: Simplifying -46 + 27z = 0 Solving -46 + 27z = 0 Move all terms containing z to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 27z = 0 + 46 Combine like terms: -46 + 46 = 0 0 + 27z = 0 + 46 27z = 0 + 46 Combine like terms: 0 + 46 = 46 27z = 46 Divide each side by '27'. z = 1.703703704 Simplifying z = 1.703703704Solution
z = {0, 1.703703704}
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