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Simplifying 3n2 + -37n + 1360 = 0 Reorder the terms: 1360 + -37n + 3n2 = 0 Solving 1360 + -37n + 3n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 453.3333333 + -12.33333333n + n2 = 0 Move the constant term to the right: Add '-453.3333333' to each side of the equation. 453.3333333 + -12.33333333n + -453.3333333 + n2 = 0 + -453.3333333 Reorder the terms: 453.3333333 + -453.3333333 + -12.33333333n + n2 = 0 + -453.3333333 Combine like terms: 453.3333333 + -453.3333333 = 0.0000000 0.0000000 + -12.33333333n + n2 = 0 + -453.3333333 -12.33333333n + n2 = 0 + -453.3333333 Combine like terms: 0 + -453.3333333 = -453.3333333 -12.33333333n + n2 = -453.3333333 The n term is -12.33333333n. Take half its coefficient (-6.166666665). Square it (38.02777776) and add it to both sides. Add '38.02777776' to each side of the equation. -12.33333333n + 38.02777776 + n2 = -453.3333333 + 38.02777776 Reorder the terms: 38.02777776 + -12.33333333n + n2 = -453.3333333 + 38.02777776 Combine like terms: -453.3333333 + 38.02777776 = -415.30555554 38.02777776 + -12.33333333n + n2 = -415.30555554 Factor a perfect square on the left side: (n + -6.166666665)(n + -6.166666665) = -415.30555554 Can't calculate square root of the right side. The solution to this equation could not be determined.
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