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Simplifying n2 + -10n + 50 = 0 Reorder the terms: 50 + -10n + n2 = 0 Solving 50 + -10n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '-50' to each side of the equation. 50 + -10n + -50 + n2 = 0 + -50 Reorder the terms: 50 + -50 + -10n + n2 = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -10n + n2 = 0 + -50 -10n + n2 = 0 + -50 Combine like terms: 0 + -50 = -50 -10n + n2 = -50 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 = -50 + 25 Reorder the terms: 25 + -10n + n2 = -50 + 25 Combine like terms: -50 + 25 = -25 25 + -10n + n2 = -25 Factor a perfect square on the left side: (n + -5)(n + -5) = -25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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