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Simplifying -3n(10n + 9) = 0 Reorder the terms: -3n(9 + 10n) = 0 (9 * -3n + 10n * -3n) = 0 (-27n + -30n2) = 0 Solving -27n + -30n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '-3n'. -3n(9 + 10n) = 0 Ignore the factor -3.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 '(9 + 10n)' equal to zero and attempt to solve: Simplifying 9 + 10n = 0 Solving 9 + 10n = 0 Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 10n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 10n = 0 + -9 10n = 0 + -9 Combine like terms: 0 + -9 = -9 10n = -9 Divide each side by '10'. n = -0.9 Simplifying n = -0.9Solution
n = {0, -0.9}
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