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Simplifying n2 + -10n = -27 Reorder the terms: -10n + n2 = -27 Solving -10n + n2 = -27 Solving for variable 'n'. Reorder the terms: 27 + -10n + n2 = -27 + 27 Combine like terms: -27 + 27 = 0 27 + -10n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-27' to each side of the equation. 27 + -10n + -27 + n2 = 0 + -27 Reorder the terms: 27 + -27 + -10n + n2 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -10n + n2 = 0 + -27 -10n + n2 = 0 + -27 Combine like terms: 0 + -27 = -27 -10n + n2 = -27 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 = -27 + 25 Reorder the terms: 25 + -10n + n2 = -27 + 25 Combine like terms: -27 + 25 = -2 25 + -10n + n2 = -2 Factor a perfect square on the left side: (n + -5)(n + -5) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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