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Simplifying -4n2 + -6n + 9 = 9 Reorder the terms: 9 + -6n + -4n2 = 9 Add '-9' to each side of the equation. 9 + -6n + -9 + -4n2 = 9 + -9 Reorder the terms: 9 + -9 + -6n + -4n2 = 9 + -9 Combine like terms: 9 + -9 = 0 0 + -6n + -4n2 = 9 + -9 -6n + -4n2 = 9 + -9 Combine like terms: 9 + -9 = 0 -6n + -4n2 = 0 Solving -6n + -4n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '-2n'. -2n(3 + 2n) = 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 '(3 + 2n)' equal to zero and attempt to solve: Simplifying 3 + 2n = 0 Solving 3 + 2n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2n = 0 + -3 2n = 0 + -3 Combine like terms: 0 + -3 = -3 2n = -3 Divide each side by '2'. n = -1.5 Simplifying n = -1.5Solution
n = {0, -1.5}
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