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Simplifying 18n2 + 35n + -15n + -3n2 = 5n Reorder the terms: 35n + -15n + 18n2 + -3n2 = 5n Combine like terms: 35n + -15n = 20n 20n + 18n2 + -3n2 = 5n Combine like terms: 18n2 + -3n2 = 15n2 20n + 15n2 = 5n Solving 20n + 15n2 = 5n Solving for variable 'n'. Reorder the terms: 20n + -5n + 15n2 = 5n + -5n Combine like terms: 20n + -5n = 15n 15n + 15n2 = 5n + -5n Combine like terms: 5n + -5n = 0 15n + 15n2 = 0 Factor out the Greatest Common Factor (GCF), '15n'. 15n(1 + n) = 0 Ignore the factor 15.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 + n)' equal to zero and attempt to solve: Simplifying 1 + n = 0 Solving 1 + n = 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 + n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + n = 0 + -1 n = 0 + -1 Combine like terms: 0 + -1 = -1 n = -1 Simplifying n = -1Solution
n = {0, -1}
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