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Simplifying n2 + 10n + 30 = 0 Reorder the terms: 30 + 10n + n2 = 0 Solving 30 + 10n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '-30' to each side of the equation. 30 + 10n + -30 + n2 = 0 + -30 Reorder the terms: 30 + -30 + 10n + n2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 10n + n2 = 0 + -30 10n + n2 = 0 + -30 Combine like terms: 0 + -30 = -30 10n + n2 = -30 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 = -30 + 25 Reorder the terms: 25 + 10n + n2 = -30 + 25 Combine like terms: -30 + 25 = -5 25 + 10n + n2 = -5 Factor a perfect square on the left side: (n + 5)(n + 5) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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