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Simplifying n + -2(n + -35) * 9n = 0 Reorder the terms: n + -2(-35 + n) * 9n = 0 Reorder the terms for easier multiplication: n + -2 * 9n(-35 + n) = 0 Multiply -2 * 9 n + -18n(-35 + n) = 0 n + (-35 * -18n + n * -18n) = 0 n + (630n + -18n2) = 0 Combine like terms: n + 630n = 631n 631n + -18n2 = 0 Solving 631n + -18n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(631 + -18n) = 0Subproblem 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 '(631 + -18n)' equal to zero and attempt to solve: Simplifying 631 + -18n = 0 Solving 631 + -18n = 0 Move all terms containing n to the left, all other terms to the right. Add '-631' to each side of the equation. 631 + -631 + -18n = 0 + -631 Combine like terms: 631 + -631 = 0 0 + -18n = 0 + -631 -18n = 0 + -631 Combine like terms: 0 + -631 = -631 -18n = -631 Divide each side by '-18'. n = 35.05555556 Simplifying n = 35.05555556Solution
n = {0, 35.05555556}
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