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Simplifying 3z(2z + -9) = 0 Reorder the terms: 3z(-9 + 2z) = 0 (-9 * 3z + 2z * 3z) = 0 (-27z + 6z2) = 0 Solving -27z + 6z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '3z'. 3z(-9 + 2z) = 0 Ignore the factor 3.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 '(-9 + 2z)' equal to zero and attempt to solve: Simplifying -9 + 2z = 0 Solving -9 + 2z = 0 Move all terms containing z to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2z = 0 + 9 2z = 0 + 9 Combine like terms: 0 + 9 = 9 2z = 9 Divide each side by '2'. z = 4.5 Simplifying z = 4.5Solution
z = {0, 4.5}
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