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Simplifying 3v2 + 47 = -6v Reorder the terms: 47 + 3v2 = -6v Solving 47 + 3v2 = -6v Solving for variable 'v'. Reorder the terms: 47 + 6v + 3v2 = -6v + 6v Combine like terms: -6v + 6v = 0 47 + 6v + 3v2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 15.66666667 + 2v + v2 = 0 Move the constant term to the right: Add '-15.66666667' to each side of the equation. 15.66666667 + 2v + -15.66666667 + v2 = 0 + -15.66666667 Reorder the terms: 15.66666667 + -15.66666667 + 2v + v2 = 0 + -15.66666667 Combine like terms: 15.66666667 + -15.66666667 = 0.00000000 0.00000000 + 2v + v2 = 0 + -15.66666667 2v + v2 = 0 + -15.66666667 Combine like terms: 0 + -15.66666667 = -15.66666667 2v + v2 = -15.66666667 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 = -15.66666667 + 1 Reorder the terms: 1 + 2v + v2 = -15.66666667 + 1 Combine like terms: -15.66666667 + 1 = -14.66666667 1 + 2v + v2 = -14.66666667 Factor a perfect square on the left side: (v + 1)(v + 1) = -14.66666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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