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Simplifying 9n2 + 79 = 0.18n Reorder the terms: 79 + 9n2 = 0.18n Solving 79 + 9n2 = 0.18n Solving for variable 'n'. Reorder the terms: 79 + -0.18n + 9n2 = 0.18n + -0.18n Combine like terms: 0.18n + -0.18n = 0.00 79 + -0.18n + 9n2 = 0.00 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 8.777777778 + -0.02n + n2 = 0.00 Move the constant term to the right: Add '-8.777777778' to each side of the equation. 8.777777778 + -0.02n + -8.777777778 + n2 = 0.00 + -8.777777778 Reorder the terms: 8.777777778 + -8.777777778 + -0.02n + n2 = 0.00 + -8.777777778 Combine like terms: 8.777777778 + -8.777777778 = 0.000000000 0.000000000 + -0.02n + n2 = 0.00 + -8.777777778 -0.02n + n2 = 0.00 + -8.777777778 Combine like terms: 0.00 + -8.777777778 = -8.777777778 -0.02n + n2 = -8.777777778 The n term is -0.02n. Take half its coefficient (-0.01). Square it (0.0001) and add it to both sides. Add '0.0001' to each side of the equation. -0.02n + 0.0001 + n2 = -8.777777778 + 0.0001 Reorder the terms: 0.0001 + -0.02n + n2 = -8.777777778 + 0.0001 Combine like terms: -8.777777778 + 0.0001 = -8.777677778 0.0001 + -0.02n + n2 = -8.777677778 Factor a perfect square on the left side: (n + -0.01)(n + -0.01) = -8.777677778 Can't calculate square root of the right side. The solution to this equation could not be determined.
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