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Simplifying 0 = 28n2 + -9n + 27 Reorder the terms: 0 = 27 + -9n + 28n2 Solving 0 = 27 + -9n + 28n2 Solving for variable 'n'. Combine like terms: 0 + -27 = -27 -27 + 9n + -28n2 = 27 + -9n + 28n2 + -27 + 9n + -28n2 Reorder the terms: -27 + 9n + -28n2 = 27 + -27 + -9n + 9n + 28n2 + -28n2 Combine like terms: 27 + -27 = 0 -27 + 9n + -28n2 = 0 + -9n + 9n + 28n2 + -28n2 -27 + 9n + -28n2 = -9n + 9n + 28n2 + -28n2 Combine like terms: -9n + 9n = 0 -27 + 9n + -28n2 = 0 + 28n2 + -28n2 -27 + 9n + -28n2 = 28n2 + -28n2 Combine like terms: 28n2 + -28n2 = 0 -27 + 9n + -28n2 = 0 Begin completing the square. Divide all terms by -28 the coefficient of the squared term: Divide each side by '-28'. 0.9642857143 + -0.3214285714n + n2 = 0 Move the constant term to the right: Add '-0.9642857143' to each side of the equation. 0.9642857143 + -0.3214285714n + -0.9642857143 + n2 = 0 + -0.9642857143 Reorder the terms: 0.9642857143 + -0.9642857143 + -0.3214285714n + n2 = 0 + -0.9642857143 Combine like terms: 0.9642857143 + -0.9642857143 = 0.0000000000 0.0000000000 + -0.3214285714n + n2 = 0 + -0.9642857143 -0.3214285714n + n2 = 0 + -0.9642857143 Combine like terms: 0 + -0.9642857143 = -0.9642857143 -0.3214285714n + n2 = -0.9642857143 The n term is -0.3214285714n. Take half its coefficient (-0.1607142857). Square it (0.02582908163) and add it to both sides. Add '0.02582908163' to each side of the equation. -0.3214285714n + 0.02582908163 + n2 = -0.9642857143 + 0.02582908163 Reorder the terms: 0.02582908163 + -0.3214285714n + n2 = -0.9642857143 + 0.02582908163 Combine like terms: -0.9642857143 + 0.02582908163 = -0.93845663267 0.02582908163 + -0.3214285714n + n2 = -0.93845663267 Factor a perfect square on the left side: (n + -0.1607142857)(n + -0.1607142857) = -0.93845663267 Can't calculate square root of the right side. The solution to this equation could not be determined.
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