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Simplifying 0 = 3v2 + -2v + 12 Reorder the terms: 0 = 12 + -2v + 3v2 Solving 0 = 12 + -2v + 3v2 Solving for variable 'v'. Combine like terms: 0 + -12 = -12 -12 + 2v + -3v2 = 12 + -2v + 3v2 + -12 + 2v + -3v2 Reorder the terms: -12 + 2v + -3v2 = 12 + -12 + -2v + 2v + 3v2 + -3v2 Combine like terms: 12 + -12 = 0 -12 + 2v + -3v2 = 0 + -2v + 2v + 3v2 + -3v2 -12 + 2v + -3v2 = -2v + 2v + 3v2 + -3v2 Combine like terms: -2v + 2v = 0 -12 + 2v + -3v2 = 0 + 3v2 + -3v2 -12 + 2v + -3v2 = 3v2 + -3v2 Combine like terms: 3v2 + -3v2 = 0 -12 + 2v + -3v2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 4 + -0.6666666667v + v2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -0.6666666667v + -4 + v2 = 0 + -4 Reorder the terms: 4 + -4 + -0.6666666667v + v2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -0.6666666667v + v2 = 0 + -4 -0.6666666667v + v2 = 0 + -4 Combine like terms: 0 + -4 = -4 -0.6666666667v + v2 = -4 The v term is -0.6666666667v. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667v + 0.1111111112 + v2 = -4 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667v + v2 = -4 + 0.1111111112 Combine like terms: -4 + 0.1111111112 = -3.8888888888 0.1111111112 + -0.6666666667v + v2 = -3.8888888888 Factor a perfect square on the left side: (v + -0.3333333334)(v + -0.3333333334) = -3.8888888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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