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Simplifying 6v2 + -11v + 9 = 0 Reorder the terms: 9 + -11v + 6v2 = 0 Solving 9 + -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'. 1.5 + -1.833333333v + v2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -1.833333333v + -1.5 + v2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -1.833333333v + v2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -1.833333333v + v2 = 0 + -1.5 -1.833333333v + v2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -1.833333333v + v2 = -1.5 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 = -1.5 + 0.8402777775 Reorder the terms: 0.8402777775 + -1.833333333v + v2 = -1.5 + 0.8402777775 Combine like terms: -1.5 + 0.8402777775 = -0.6597222225 0.8402777775 + -1.833333333v + v2 = -0.6597222225 Factor a perfect square on the left side: (v + -0.9166666665)(v + -0.9166666665) = -0.6597222225 Can't calculate square root of the right side. The solution to this equation could not be determined.
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