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Simplifying 9n2 + 16n + 18 = 0 Reorder the terms: 18 + 16n + 9n2 = 0 Solving 18 + 16n + 9n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 2 + 1.777777778n + n2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 1.777777778n + -2 + n2 = 0 + -2 Reorder the terms: 2 + -2 + 1.777777778n + n2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1.777777778n + n2 = 0 + -2 1.777777778n + n2 = 0 + -2 Combine like terms: 0 + -2 = -2 1.777777778n + n2 = -2 The n term is 1.777777778n. Take half its coefficient (0.888888889). Square it (0.7901234570) and add it to both sides. Add '0.7901234570' to each side of the equation. 1.777777778n + 0.7901234570 + n2 = -2 + 0.7901234570 Reorder the terms: 0.7901234570 + 1.777777778n + n2 = -2 + 0.7901234570 Combine like terms: -2 + 0.7901234570 = -1.209876543 0.7901234570 + 1.777777778n + n2 = -1.209876543 Factor a perfect square on the left side: (n + 0.888888889)(n + 0.888888889) = -1.209876543 Can't calculate square root of the right side. The solution to this equation could not be determined.
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