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Simplifying n2 + 84 = -18n Reorder the terms: 84 + n2 = -18n Solving 84 + n2 = -18n Solving for variable 'n'. Reorder the terms: 84 + 18n + n2 = -18n + 18n Combine like terms: -18n + 18n = 0 84 + 18n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-84' to each side of the equation. 84 + 18n + -84 + n2 = 0 + -84 Reorder the terms: 84 + -84 + 18n + n2 = 0 + -84 Combine like terms: 84 + -84 = 0 0 + 18n + n2 = 0 + -84 18n + n2 = 0 + -84 Combine like terms: 0 + -84 = -84 18n + n2 = -84 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 = -84 + 81 Reorder the terms: 81 + 18n + n2 = -84 + 81 Combine like terms: -84 + 81 = -3 81 + 18n + n2 = -3 Factor a perfect square on the left side: (n + 9)(n + 9) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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