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Simplifying 6v2 + 11v + 39 = 0 Reorder the terms: 39 + 11v + 6v2 = 0 Solving 39 + 11v + 6v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 6.5 + 1.833333333v + v2 = 0 Move the constant term to the right: Add '-6.5' to each side of the equation. 6.5 + 1.833333333v + -6.5 + v2 = 0 + -6.5 Reorder the terms: 6.5 + -6.5 + 1.833333333v + v2 = 0 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + 1.833333333v + v2 = 0 + -6.5 1.833333333v + v2 = 0 + -6.5 Combine like terms: 0 + -6.5 = -6.5 1.833333333v + v2 = -6.5 The v term is 1.833333333v. Take half its coefficient (0.9166666665). Square it (0.8402777775) and add it to both sides. Add '0.8402777775' to each side of the equation. 1.833333333v + 0.8402777775 + v2 = -6.5 + 0.8402777775 Reorder the terms: 0.8402777775 + 1.833333333v + v2 = -6.5 + 0.8402777775 Combine like terms: -6.5 + 0.8402777775 = -5.6597222225 0.8402777775 + 1.833333333v + v2 = -5.6597222225 Factor a perfect square on the left side: (v + 0.9166666665)(v + 0.9166666665) = -5.6597222225 Can't calculate square root of the right side. The solution to this equation could not be determined.
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