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Simplifying n2 + 18n + 83 = 0 Reorder the terms: 83 + 18n + n2 = 0 Solving 83 + 18n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '-83' to each side of the equation. 83 + 18n + -83 + n2 = 0 + -83 Reorder the terms: 83 + -83 + 18n + n2 = 0 + -83 Combine like terms: 83 + -83 = 0 0 + 18n + n2 = 0 + -83 18n + n2 = 0 + -83 Combine like terms: 0 + -83 = -83 18n + n2 = -83 The n term is 18n. Take half its coefficient (9). Square it (81) and add it to both sides. Add '81' to each side of the equation. 18n + 81 + n2 = -83 + 81 Reorder the terms: 81 + 18n + n2 = -83 + 81 Combine like terms: -83 + 81 = -2 81 + 18n + n2 = -2 Factor a perfect square on the left side: (n + 9)(n + 9) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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