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Simplifying 11n2 = -7 + 5n Solving 11n2 = -7 + 5n Solving for variable 'n'. Reorder the terms: 7 + -5n + 11n2 = -7 + 5n + 7 + -5n Reorder the terms: 7 + -5n + 11n2 = -7 + 7 + 5n + -5n Combine like terms: -7 + 7 = 0 7 + -5n + 11n2 = 0 + 5n + -5n 7 + -5n + 11n2 = 5n + -5n Combine like terms: 5n + -5n = 0 7 + -5n + 11n2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.6363636364 + -0.4545454545n + n2 = 0 Move the constant term to the right: Add '-0.6363636364' to each side of the equation. 0.6363636364 + -0.4545454545n + -0.6363636364 + n2 = 0 + -0.6363636364 Reorder the terms: 0.6363636364 + -0.6363636364 + -0.4545454545n + n2 = 0 + -0.6363636364 Combine like terms: 0.6363636364 + -0.6363636364 = 0.0000000000 0.0000000000 + -0.4545454545n + n2 = 0 + -0.6363636364 -0.4545454545n + n2 = 0 + -0.6363636364 Combine like terms: 0 + -0.6363636364 = -0.6363636364 -0.4545454545n + n2 = -0.6363636364 The n term is -0.4545454545n. Take half its coefficient (-0.2272727273). Square it (0.05165289257) and add it to both sides. Add '0.05165289257' to each side of the equation. -0.4545454545n + 0.05165289257 + n2 = -0.6363636364 + 0.05165289257 Reorder the terms: 0.05165289257 + -0.4545454545n + n2 = -0.6363636364 + 0.05165289257 Combine like terms: -0.6363636364 + 0.05165289257 = -0.58471074383 0.05165289257 + -0.4545454545n + n2 = -0.58471074383 Factor a perfect square on the left side: (n + -0.2272727273)(n + -0.2272727273) = -0.58471074383 Can't calculate square root of the right side. The solution to this equation could not be determined.
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