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Simplifying 6v2 + 3 = -2v Reorder the terms: 3 + 6v2 = -2v Solving 3 + 6v2 = -2v Solving for variable 'v'. Reorder the terms: 3 + 2v + 6v2 = -2v + 2v Combine like terms: -2v + 2v = 0 3 + 2v + 6v2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 0.5 + 0.3333333333v + v2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + 0.3333333333v + -0.5 + v2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + 0.3333333333v + v2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.3333333333v + v2 = 0 + -0.5 0.3333333333v + v2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 0.3333333333v + v2 = -0.5 The v term is 0.3333333333v. Take half its coefficient (0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. 0.3333333333v + 0.02777777779 + v2 = -0.5 + 0.02777777779 Reorder the terms: 0.02777777779 + 0.3333333333v + v2 = -0.5 + 0.02777777779 Combine like terms: -0.5 + 0.02777777779 = -0.47222222221 0.02777777779 + 0.3333333333v + v2 = -0.47222222221 Factor a perfect square on the left side: (v + 0.1666666667)(v + 0.1666666667) = -0.47222222221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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