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Simplifying (3v2) + -16v + 45 = 0 Reorder the terms: 45 + -16v + (3v2) = 0 Solving 45 + -16v + (3v2) = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 15 + -5.333333333v + v2 = 0 Move the constant term to the right: Add '-15' to each side of the equation. 15 + -5.333333333v + -15 + v2 = 0 + -15 Reorder the terms: 15 + -15 + -5.333333333v + v2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -5.333333333v + v2 = 0 + -15 -5.333333333v + v2 = 0 + -15 Combine like terms: 0 + -15 = -15 -5.333333333v + v2 = -15 The v term is -5.333333333v. Take half its coefficient (-2.666666667). Square it (7.111111113) and add it to both sides. Add '7.111111113' to each side of the equation. -5.333333333v + 7.111111113 + v2 = -15 + 7.111111113 Reorder the terms: 7.111111113 + -5.333333333v + v2 = -15 + 7.111111113 Combine like terms: -15 + 7.111111113 = -7.888888887 7.111111113 + -5.333333333v + v2 = -7.888888887 Factor a perfect square on the left side: ((v) + -2.666666667)((v) + -2.666666667) = -7.888888887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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