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Simplifying -1n2 + 5n + -3 = 5 Reorder the terms: -3 + 5n + -1n2 = 5 Solving -3 + 5n + -1n2 = 5 Solving for variable 'n'. Reorder the terms: -3 + -5 + 5n + -1n2 = 5 + -5 Combine like terms: -3 + -5 = -8 -8 + 5n + -1n2 = 5 + -5 Combine like terms: 5 + -5 = 0 -8 + 5n + -1n2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 8 + -5n + n2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -5n + -8 + n2 = 0 + -8 Reorder the terms: 8 + -8 + -5n + n2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5n + n2 = 0 + -8 -5n + n2 = 0 + -8 Combine like terms: 0 + -8 = -8 -5n + n2 = -8 The n term is -5n. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5n + 6.25 + n2 = -8 + 6.25 Reorder the terms: 6.25 + -5n + n2 = -8 + 6.25 Combine like terms: -8 + 6.25 = -1.75 6.25 + -5n + n2 = -1.75 Factor a perfect square on the left side: (n + -2.5)(n + -2.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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