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Simplifying (3n + -5n)(3n + 5) = 0 Combine like terms: 3n + -5n = -2n (-2n)(3n + 5) = 0 Remove parenthesis around (-2n) -2n(3n + 5) = 0 Reorder the terms: -2n(5 + 3n) = 0 (5 * -2n + 3n * -2n) = 0 (-10n + -6n2) = 0 Solving -10n + -6n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '-2n'. -2n(5 + 3n) = 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 '(5 + 3n)' equal to zero and attempt to solve: Simplifying 5 + 3n = 0 Solving 5 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3n = 0 + -5 3n = 0 + -5 Combine like terms: 0 + -5 = -5 3n = -5 Divide each side by '3'. n = -1.666666667 Simplifying n = -1.666666667Solution
n = {0, -1.666666667}
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