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Simplifying 6v2 + -12v + 37 = 0 Reorder the terms: 37 + -12v + 6v2 = 0 Solving 37 + -12v + 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'. 6.166666667 + -2v + v2 = 0 Move the constant term to the right: Add '-6.166666667' to each side of the equation. 6.166666667 + -2v + -6.166666667 + v2 = 0 + -6.166666667 Reorder the terms: 6.166666667 + -6.166666667 + -2v + v2 = 0 + -6.166666667 Combine like terms: 6.166666667 + -6.166666667 = 0.000000000 0.000000000 + -2v + v2 = 0 + -6.166666667 -2v + v2 = 0 + -6.166666667 Combine like terms: 0 + -6.166666667 = -6.166666667 -2v + v2 = -6.166666667 The v term is -2v. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2v + 1 + v2 = -6.166666667 + 1 Reorder the terms: 1 + -2v + v2 = -6.166666667 + 1 Combine like terms: -6.166666667 + 1 = -5.166666667 1 + -2v + v2 = -5.166666667 Factor a perfect square on the left side: (v + -1)(v + -1) = -5.166666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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