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Simplifying 6n2 + 37n + 455 = 0 Reorder the terms: 455 + 37n + 6n2 = 0 Solving 455 + 37n + 6n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 75.83333333 + 6.166666667n + n2 = 0 Move the constant term to the right: Add '-75.83333333' to each side of the equation. 75.83333333 + 6.166666667n + -75.83333333 + n2 = 0 + -75.83333333 Reorder the terms: 75.83333333 + -75.83333333 + 6.166666667n + n2 = 0 + -75.83333333 Combine like terms: 75.83333333 + -75.83333333 = 0.00000000 0.00000000 + 6.166666667n + n2 = 0 + -75.83333333 6.166666667n + n2 = 0 + -75.83333333 Combine like terms: 0 + -75.83333333 = -75.83333333 6.166666667n + n2 = -75.83333333 The n term is 6.166666667n. Take half its coefficient (3.083333334). Square it (9.506944449) and add it to both sides. Add '9.506944449' to each side of the equation. 6.166666667n + 9.506944449 + n2 = -75.83333333 + 9.506944449 Reorder the terms: 9.506944449 + 6.166666667n + n2 = -75.83333333 + 9.506944449 Combine like terms: -75.83333333 + 9.506944449 = -66.326388881 9.506944449 + 6.166666667n + n2 = -66.326388881 Factor a perfect square on the left side: (n + 3.083333334)(n + 3.083333334) = -66.326388881 Can't calculate square root of the right side. The solution to this equation could not be determined.
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