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Simplifying 9n2 + -11n + 7 = 0 Reorder the terms: 7 + -11n + 9n2 = 0 Solving 7 + -11n + 9n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.7777777778 + -1.222222222n + n2 = 0 Move the constant term to the right: Add '-0.7777777778' to each side of the equation. 0.7777777778 + -1.222222222n + -0.7777777778 + n2 = 0 + -0.7777777778 Reorder the terms: 0.7777777778 + -0.7777777778 + -1.222222222n + n2 = 0 + -0.7777777778 Combine like terms: 0.7777777778 + -0.7777777778 = 0.0000000000 0.0000000000 + -1.222222222n + n2 = 0 + -0.7777777778 -1.222222222n + n2 = 0 + -0.7777777778 Combine like terms: 0 + -0.7777777778 = -0.7777777778 -1.222222222n + n2 = -0.7777777778 The n term is -1.222222222n. Take half its coefficient (-0.611111111). Square it (0.3734567900) and add it to both sides. Add '0.3734567900' to each side of the equation. -1.222222222n + 0.3734567900 + n2 = -0.7777777778 + 0.3734567900 Reorder the terms: 0.3734567900 + -1.222222222n + n2 = -0.7777777778 + 0.3734567900 Combine like terms: -0.7777777778 + 0.3734567900 = -0.4043209878 0.3734567900 + -1.222222222n + n2 = -0.4043209878 Factor a perfect square on the left side: (n + -0.611111111)(n + -0.611111111) = -0.4043209878 Can't calculate square root of the right side. The solution to this equation could not be determined.
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