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Simplifying -9n2 = -1n + 8 Reorder the terms: -9n2 = 8 + -1n Solving -9n2 = 8 + -1n Solving for variable 'n'. Reorder the terms: -8 + n + -9n2 = 8 + -1n + -8 + n Reorder the terms: -8 + n + -9n2 = 8 + -8 + -1n + n Combine like terms: 8 + -8 = 0 -8 + n + -9n2 = 0 + -1n + n -8 + n + -9n2 = -1n + n Combine like terms: -1n + n = 0 -8 + n + -9n2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 0.8888888889 + -0.1111111111n + n2 = 0 Move the constant term to the right: Add '-0.8888888889' to each side of the equation. 0.8888888889 + -0.1111111111n + -0.8888888889 + n2 = 0 + -0.8888888889 Reorder the terms: 0.8888888889 + -0.8888888889 + -0.1111111111n + n2 = 0 + -0.8888888889 Combine like terms: 0.8888888889 + -0.8888888889 = 0.0000000000 0.0000000000 + -0.1111111111n + n2 = 0 + -0.8888888889 -0.1111111111n + n2 = 0 + -0.8888888889 Combine like terms: 0 + -0.8888888889 = -0.8888888889 -0.1111111111n + n2 = -0.8888888889 The n term is n. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.1111111111n + 0.25 + n2 = -0.8888888889 + 0.25 Reorder the terms: 0.25 + -0.1111111111n + n2 = -0.8888888889 + 0.25 Combine like terms: -0.8888888889 + 0.25 = -0.6388888889 0.25 + -0.1111111111n + n2 = -0.6388888889 Factor a perfect square on the left side: (n + 0.5)(n + 0.5) = -0.6388888889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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