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Simplifying 9n(2n + -1) = 0 Reorder the terms: 9n(-1 + 2n) = 0 (-1 * 9n + 2n * 9n) = 0 (-9n + 18n2) = 0 Solving -9n + 18n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '9n'. 9n(-1 + 2n) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(-1 + 2n)' equal to zero and attempt to solve: Simplifying -1 + 2n = 0 Solving -1 + 2n = 0 Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2n = 0 + 1 2n = 0 + 1 Combine like terms: 0 + 1 = 1 2n = 1 Divide each side by '2'. n = 0.5 Simplifying n = 0.5Solution
n = {0, 0.5}
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