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Simplifying 18n2 + 82n = 0 Reorder the terms: 82n + 18n2 = 0 Solving 82n + 18n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2n'. 2n(41 + 9n) = 0 Ignore the factor 2.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 '(41 + 9n)' equal to zero and attempt to solve: Simplifying 41 + 9n = 0 Solving 41 + 9n = 0 Move all terms containing n to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 9n = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 9n = 0 + -41 9n = 0 + -41 Combine like terms: 0 + -41 = -41 9n = -41 Divide each side by '9'. n = -4.555555556 Simplifying n = -4.555555556Solution
n = {0, -4.555555556}
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