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Simplifying 9n + -1n2 + -220 = 0 Reorder the terms: -220 + 9n + -1n2 = 0 Solving -220 + 9n + -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'. 220 + -9n + n2 = 0 Move the constant term to the right: Add '-220' to each side of the equation. 220 + -9n + -220 + n2 = 0 + -220 Reorder the terms: 220 + -220 + -9n + n2 = 0 + -220 Combine like terms: 220 + -220 = 0 0 + -9n + n2 = 0 + -220 -9n + n2 = 0 + -220 Combine like terms: 0 + -220 = -220 -9n + n2 = -220 The n term is -9n. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9n + 20.25 + n2 = -220 + 20.25 Reorder the terms: 20.25 + -9n + n2 = -220 + 20.25 Combine like terms: -220 + 20.25 = -199.75 20.25 + -9n + n2 = -199.75 Factor a perfect square on the left side: (n + -4.5)(n + -4.5) = -199.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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