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Simplifying 9n2 + 9 = n Reorder the terms: 9 + 9n2 = n Solving 9 + 9n2 = n Solving for variable 'n'. Reorder the terms: 9 + -1n + 9n2 = n + -1n Combine like terms: n + -1n = 0 9 + -1n + 9n2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1 + -0.1111111111n + n2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.1111111111n + -1 + n2 = 0 + -1 Reorder the terms: 1 + -1 + -0.1111111111n + n2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.1111111111n + n2 = 0 + -1 -0.1111111111n + n2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.1111111111n + n2 = -1 The n term is -0.1111111111n. Take half its coefficient (-0.05555555555). Square it (0.003086419752) and add it to both sides. Add '0.003086419752' to each side of the equation. -0.1111111111n + 0.003086419752 + n2 = -1 + 0.003086419752 Reorder the terms: 0.003086419752 + -0.1111111111n + n2 = -1 + 0.003086419752 Combine like terms: -1 + 0.003086419752 = -0.996913580248 0.003086419752 + -0.1111111111n + n2 = -0.996913580248 Factor a perfect square on the left side: (n + -0.05555555555)(n + -0.05555555555) = -0.996913580248 Can't calculate square root of the right side. The solution to this equation could not be determined.
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