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Simplifying n2 + 10n + 25 = -180 Reorder the terms: 25 + 10n + n2 = -180 Solving 25 + 10n + n2 = -180 Solving for variable 'n'. Reorder the terms: 25 + 180 + 10n + n2 = -180 + 180 Combine like terms: 25 + 180 = 205 205 + 10n + n2 = -180 + 180 Combine like terms: -180 + 180 = 0 205 + 10n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-205' to each side of the equation. 205 + 10n + -205 + n2 = 0 + -205 Reorder the terms: 205 + -205 + 10n + n2 = 0 + -205 Combine like terms: 205 + -205 = 0 0 + 10n + n2 = 0 + -205 10n + n2 = 0 + -205 Combine like terms: 0 + -205 = -205 10n + n2 = -205 The n term is 10n. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10n + 25 + n2 = -205 + 25 Reorder the terms: 25 + 10n + n2 = -205 + 25 Combine like terms: -205 + 25 = -180 25 + 10n + n2 = -180 Factor a perfect square on the left side: (n + 5)(n + 5) = -180 Can't calculate square root of the right side. The solution to this equation could not be determined.
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