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Simplifying n2 + 2n2 + -14n2 + 2n + -15 = 0 Reorder the terms: -15 + 2n + n2 + 2n2 + -14n2 = 0 Combine like terms: n2 + 2n2 = 3n2 -15 + 2n + 3n2 + -14n2 = 0 Combine like terms: 3n2 + -14n2 = -11n2 -15 + 2n + -11n2 = 0 Solving -15 + 2n + -11n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by -11 the coefficient of the squared term: Divide each side by '-11'. 1.363636364 + -0.1818181818n + n2 = 0 Move the constant term to the right: Add '-1.363636364' to each side of the equation. 1.363636364 + -0.1818181818n + -1.363636364 + n2 = 0 + -1.363636364 Reorder the terms: 1.363636364 + -1.363636364 + -0.1818181818n + n2 = 0 + -1.363636364 Combine like terms: 1.363636364 + -1.363636364 = 0.000000000 0.000000000 + -0.1818181818n + n2 = 0 + -1.363636364 -0.1818181818n + n2 = 0 + -1.363636364 Combine like terms: 0 + -1.363636364 = -1.363636364 -0.1818181818n + n2 = -1.363636364 The n term is -0.1818181818n. Take half its coefficient (-0.0909090909). Square it (0.008264462808) and add it to both sides. Add '0.008264462808' to each side of the equation. -0.1818181818n + 0.008264462808 + n2 = -1.363636364 + 0.008264462808 Reorder the terms: 0.008264462808 + -0.1818181818n + n2 = -1.363636364 + 0.008264462808 Combine like terms: -1.363636364 + 0.008264462808 = -1.355371901192 0.008264462808 + -0.1818181818n + n2 = -1.355371901192 Factor a perfect square on the left side: (n + -0.0909090909)(n + -0.0909090909) = -1.355371901192 Can't calculate square root of the right side. The solution to this equation could not be determined.
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