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Simplifying 2n + 3n2 + -5n * 3 + -6n2 = 0 Reorder the terms for easier multiplication: 2n + 3n2 + -5 * 3n + -6n2 = 0 Multiply -5 * 3 2n + 3n2 + -15n + -6n2 = 0 Reorder the terms: 2n + -15n + 3n2 + -6n2 = 0 Combine like terms: 2n + -15n = -13n -13n + 3n2 + -6n2 = 0 Combine like terms: 3n2 + -6n2 = -3n2 -13n + -3n2 = 0 Solving -13n + -3n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '-1n'. -1n(13 + 3n) = 0 Ignore the factor -1.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 '(13 + 3n)' equal to zero and attempt to solve: Simplifying 13 + 3n = 0 Solving 13 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 3n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 3n = 0 + -13 3n = 0 + -13 Combine like terms: 0 + -13 = -13 3n = -13 Divide each side by '3'. n = -4.333333333 Simplifying n = -4.333333333Solution
n = {0, -4.333333333}
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