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Simplifying 3v2 + 6v + 56 = 0 Reorder the terms: 56 + 6v + 3v2 = 0 Solving 56 + 6v + 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'. 18.66666667 + 2v + v2 = 0 Move the constant term to the right: Add '-18.66666667' to each side of the equation. 18.66666667 + 2v + -18.66666667 + v2 = 0 + -18.66666667 Reorder the terms: 18.66666667 + -18.66666667 + 2v + v2 = 0 + -18.66666667 Combine like terms: 18.66666667 + -18.66666667 = 0.00000000 0.00000000 + 2v + v2 = 0 + -18.66666667 2v + v2 = 0 + -18.66666667 Combine like terms: 0 + -18.66666667 = -18.66666667 2v + v2 = -18.66666667 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 = -18.66666667 + 1 Reorder the terms: 1 + 2v + v2 = -18.66666667 + 1 Combine like terms: -18.66666667 + 1 = -17.66666667 1 + 2v + v2 = -17.66666667 Factor a perfect square on the left side: (v + 1)(v + 1) = -17.66666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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