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Simplifying 4 + n + -12 = n2 Reorder the terms: 4 + -12 + n = n2 Combine like terms: 4 + -12 = -8 -8 + n = n2 Solving -8 + n = n2 Solving for variable 'n'. Combine like terms: n2 + -1n2 = 0 -8 + n + -1n2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 8 + -1n + n2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -1n + -8 + n2 = 0 + -8 Reorder the terms: 8 + -8 + -1n + n2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1n + n2 = 0 + -8 -1n + n2 = 0 + -8 Combine like terms: 0 + -8 = -8 -1n + n2 = -8 The n term is n. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1n + 0.25 + n2 = -8 + 0.25 Reorder the terms: 0.25 + -1n + n2 = -8 + 0.25 Combine like terms: -8 + 0.25 = -7.75 0.25 + -1n + n2 = -7.75 Factor a perfect square on the left side: (n + 0.5)(n + 0.5) = -7.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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