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Simplifying 5z + -9z2 + 3z = 0 Reorder the terms: 5z + 3z + -9z2 = 0 Combine like terms: 5z + 3z = 8z 8z + -9z2 = 0 Solving 8z + -9z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(8 + -9z) = 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 + -9z)' equal to zero and attempt to solve: Simplifying 8 + -9z = 0 Solving 8 + -9z = 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 + -9z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9z = 0 + -8 -9z = 0 + -8 Combine like terms: 0 + -8 = -8 -9z = -8 Divide each side by '-9'. z = 0.8888888889 Simplifying z = 0.8888888889Solution
z = {0, 0.8888888889}
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