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Simplifying (-6n + -13n2) + (-3n + 9n2) = 0 Remove parenthesis around (-6n + -13n2) -6n + -13n2 + (-3n + 9n2) = 0 Remove parenthesis around (-3n + 9n2) -6n + -13n2 + -3n + 9n2 = 0 Reorder the terms: -6n + -3n + -13n2 + 9n2 = 0 Combine like terms: -6n + -3n = -9n -9n + -13n2 + 9n2 = 0 Combine like terms: -13n2 + 9n2 = -4n2 -9n + -4n2 = 0 Solving -9n + -4n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '-1n'. -1n(9 + 4n) = 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 '(9 + 4n)' equal to zero and attempt to solve: Simplifying 9 + 4n = 0 Solving 9 + 4n = 0 Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4n = 0 + -9 4n = 0 + -9 Combine like terms: 0 + -9 = -9 4n = -9 Divide each side by '4'. n = -2.25 Simplifying n = -2.25Solution
n = {0, -2.25}
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