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Simplifying v(2v + 3) + -6(v + -1) = 0 Reorder the terms: v(3 + 2v) + -6(v + -1) = 0 (3 * v + 2v * v) + -6(v + -1) = 0 (3v + 2v2) + -6(v + -1) = 0 Reorder the terms: 3v + 2v2 + -6(-1 + v) = 0 3v + 2v2 + (-1 * -6 + v * -6) = 0 3v + 2v2 + (6 + -6v) = 0 Reorder the terms: 6 + 3v + -6v + 2v2 = 0 Combine like terms: 3v + -6v = -3v 6 + -3v + 2v2 = 0 Solving 6 + -3v + 2v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 3 + -1.5v + v2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -1.5v + -3 + v2 = 0 + -3 Reorder the terms: 3 + -3 + -1.5v + v2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1.5v + v2 = 0 + -3 -1.5v + v2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1.5v + v2 = -3 The v term is -1.5v. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5v + 0.5625 + v2 = -3 + 0.5625 Reorder the terms: 0.5625 + -1.5v + v2 = -3 + 0.5625 Combine like terms: -3 + 0.5625 = -2.4375 0.5625 + -1.5v + v2 = -2.4375 Factor a perfect square on the left side: (v + -0.75)(v + -0.75) = -2.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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