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Simplifying 9z(9z + -5) = 0 Reorder the terms: 9z(-5 + 9z) = 0 (-5 * 9z + 9z * 9z) = 0 (-45z + 81z2) = 0 Solving -45z + 81z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '9z'. 9z(-5 + 9z) = 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 '(-5 + 9z)' equal to zero and attempt to solve: Simplifying -5 + 9z = 0 Solving -5 + 9z = 0 Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 9z = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 9z = 0 + 5 9z = 0 + 5 Combine like terms: 0 + 5 = 5 9z = 5 Divide each side by '9'. z = 0.5555555556 Simplifying z = 0.5555555556Solution
z = {0, 0.5555555556}
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