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Simplifying n + -1n2 + -90 = 0 Reorder the terms: -90 + n + -1n2 = 0 Solving -90 + n + -1n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 90 + -1n + n2 = 0 Move the constant term to the right: Add '-90' to each side of the equation. 90 + -1n + -90 + n2 = 0 + -90 Reorder the terms: 90 + -90 + -1n + n2 = 0 + -90 Combine like terms: 90 + -90 = 0 0 + -1n + n2 = 0 + -90 -1n + n2 = 0 + -90 Combine like terms: 0 + -90 = -90 -1n + n2 = -90 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 = -90 + 0.25 Reorder the terms: 0.25 + -1n + n2 = -90 + 0.25 Combine like terms: -90 + 0.25 = -89.75 0.25 + -1n + n2 = -89.75 Factor a perfect square on the left side: (n + 0.5)(n + 0.5) = -89.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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