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Simplifying 3v2 + 11 = 6v Reorder the terms: 11 + 3v2 = 6v Solving 11 + 3v2 = 6v Solving for variable 'v'. Reorder the terms: 11 + -6v + 3v2 = 6v + -6v Combine like terms: 6v + -6v = 0 11 + -6v + 3v2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 3.666666667 + -2v + v2 = 0 Move the constant term to the right: Add '-3.666666667' to each side of the equation. 3.666666667 + -2v + -3.666666667 + v2 = 0 + -3.666666667 Reorder the terms: 3.666666667 + -3.666666667 + -2v + v2 = 0 + -3.666666667 Combine like terms: 3.666666667 + -3.666666667 = 0.000000000 0.000000000 + -2v + v2 = 0 + -3.666666667 -2v + v2 = 0 + -3.666666667 Combine like terms: 0 + -3.666666667 = -3.666666667 -2v + v2 = -3.666666667 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 = -3.666666667 + 1 Reorder the terms: 1 + -2v + v2 = -3.666666667 + 1 Combine like terms: -3.666666667 + 1 = -2.666666667 1 + -2v + v2 = -2.666666667 Factor a perfect square on the left side: (v + -1)(v + -1) = -2.666666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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