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Simplifying n2 + 10n + 60 = -4n Reorder the terms: 60 + 10n + n2 = -4n Solving 60 + 10n + n2 = -4n Solving for variable 'n'. Reorder the terms: 60 + 10n + 4n + n2 = -4n + 4n Combine like terms: 10n + 4n = 14n 60 + 14n + n2 = -4n + 4n Combine like terms: -4n + 4n = 0 60 + 14n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-60' to each side of the equation. 60 + 14n + -60 + n2 = 0 + -60 Reorder the terms: 60 + -60 + 14n + n2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 14n + n2 = 0 + -60 14n + n2 = 0 + -60 Combine like terms: 0 + -60 = -60 14n + n2 = -60 The n term is 14n. Take half its coefficient (7). Square it (49) and add it to both sides. Add '49' to each side of the equation. 14n + 49 + n2 = -60 + 49 Reorder the terms: 49 + 14n + n2 = -60 + 49 Combine like terms: -60 + 49 = -11 49 + 14n + n2 = -11 Factor a perfect square on the left side: (n + 7)(n + 7) = -11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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