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Simplifying -11n2 + 2n + 2 = 7 Reorder the terms: 2 + 2n + -11n2 = 7 Solving 2 + 2n + -11n2 = 7 Solving for variable 'n'. Reorder the terms: 2 + -7 + 2n + -11n2 = 7 + -7 Combine like terms: 2 + -7 = -5 -5 + 2n + -11n2 = 7 + -7 Combine like terms: 7 + -7 = 0 -5 + 2n + -11n2 = 0 Begin completing the square. Divide all terms by -11 the coefficient of the squared term: Divide each side by '-11'. 0.4545454545 + -0.1818181818n + n2 = 0 Move the constant term to the right: Add '-0.4545454545' to each side of the equation. 0.4545454545 + -0.1818181818n + -0.4545454545 + n2 = 0 + -0.4545454545 Reorder the terms: 0.4545454545 + -0.4545454545 + -0.1818181818n + n2 = 0 + -0.4545454545 Combine like terms: 0.4545454545 + -0.4545454545 = 0.0000000000 0.0000000000 + -0.1818181818n + n2 = 0 + -0.4545454545 -0.1818181818n + n2 = 0 + -0.4545454545 Combine like terms: 0 + -0.4545454545 = -0.4545454545 -0.1818181818n + n2 = -0.4545454545 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 = -0.4545454545 + 0.008264462808 Reorder the terms: 0.008264462808 + -0.1818181818n + n2 = -0.4545454545 + 0.008264462808 Combine like terms: -0.4545454545 + 0.008264462808 = -0.446280991692 0.008264462808 + -0.1818181818n + n2 = -0.446280991692 Factor a perfect square on the left side: (n + -0.0909090909)(n + -0.0909090909) = -0.446280991692 Can't calculate square root of the right side. The solution to this equation could not be determined.
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