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Simplifying 9n2 + 79 = -18n Reorder the terms: 79 + 9n2 = -18n Solving 79 + 9n2 = -18n Solving for variable 'n'. Reorder the terms: 79 + 18n + 9n2 = -18n + 18n Combine like terms: -18n + 18n = 0 79 + 18n + 9n2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 8.777777778 + 2n + n2 = 0 Move the constant term to the right: Add '-8.777777778' to each side of the equation. 8.777777778 + 2n + -8.777777778 + n2 = 0 + -8.777777778 Reorder the terms: 8.777777778 + -8.777777778 + 2n + n2 = 0 + -8.777777778 Combine like terms: 8.777777778 + -8.777777778 = 0.000000000 0.000000000 + 2n + n2 = 0 + -8.777777778 2n + n2 = 0 + -8.777777778 Combine like terms: 0 + -8.777777778 = -8.777777778 2n + n2 = -8.777777778 The n term is 2n. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2n + 1 + n2 = -8.777777778 + 1 Reorder the terms: 1 + 2n + n2 = -8.777777778 + 1 Combine like terms: -8.777777778 + 1 = -7.777777778 1 + 2n + n2 = -7.777777778 Factor a perfect square on the left side: (n + 1)(n + 1) = -7.777777778 Can't calculate square root of the right side. The solution to this equation could not be determined.
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