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Simplifying 11n2 = -27n Solving 11n2 = -27n Solving for variable 'n'. Reorder the terms: 27n + 11n2 = -27n + 27n Combine like terms: -27n + 27n = 0 27n + 11n2 = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(27 + 11n) = 0Subproblem 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 '(27 + 11n)' equal to zero and attempt to solve: Simplifying 27 + 11n = 0 Solving 27 + 11n = 0 Move all terms containing n to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 11n = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 11n = 0 + -27 11n = 0 + -27 Combine like terms: 0 + -27 = -27 11n = -27 Divide each side by '11'. n = -2.454545455 Simplifying n = -2.454545455Solution
n = {0, -2.454545455}
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