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Simplifying 1n(6 + -2n) = 99 (6 * 1n + -2n * 1n) = 99 (6n + -2n2) = 99 Solving 6n + -2n2 = 99 Solving for variable 'n'. Reorder the terms: -99 + 6n + -2n2 = 99 + -99 Combine like terms: 99 + -99 = 0 -99 + 6n + -2n2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 49.5 + -3n + n2 = 0 Move the constant term to the right: Add '-49.5' to each side of the equation. 49.5 + -3n + -49.5 + n2 = 0 + -49.5 Reorder the terms: 49.5 + -49.5 + -3n + n2 = 0 + -49.5 Combine like terms: 49.5 + -49.5 = 0.0 0.0 + -3n + n2 = 0 + -49.5 -3n + n2 = 0 + -49.5 Combine like terms: 0 + -49.5 = -49.5 -3n + n2 = -49.5 The n term is -3n. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3n + 2.25 + n2 = -49.5 + 2.25 Reorder the terms: 2.25 + -3n + n2 = -49.5 + 2.25 Combine like terms: -49.5 + 2.25 = -47.25 2.25 + -3n + n2 = -47.25 Factor a perfect square on the left side: (n + -1.5)(n + -1.5) = -47.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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