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Simplifying -3n2 + n + -9 = 0 Reorder the terms: -9 + n + -3n2 = 0 Solving -9 + n + -3n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 3 + -0.3333333333n + n2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -0.3333333333n + -3 + n2 = 0 + -3 Reorder the terms: 3 + -3 + -0.3333333333n + n2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -0.3333333333n + n2 = 0 + -3 -0.3333333333n + n2 = 0 + -3 Combine like terms: 0 + -3 = -3 -0.3333333333n + n2 = -3 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. -0.3333333333n + 0.25 + n2 = -3 + 0.25 Reorder the terms: 0.25 + -0.3333333333n + n2 = -3 + 0.25 Combine like terms: -3 + 0.25 = -2.75 0.25 + -0.3333333333n + n2 = -2.75 Factor a perfect square on the left side: (n + 0.5)(n + 0.5) = -2.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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