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Simplifying 2v2 + -5v + 2 + 4v + 4 = 0 Reorder the terms: 2 + 4 + -5v + 4v + 2v2 = 0 Combine like terms: 2 + 4 = 6 6 + -5v + 4v + 2v2 = 0 Combine like terms: -5v + 4v = -1v 6 + -1v + 2v2 = 0 Solving 6 + -1v + 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 + -0.5v + v2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -0.5v + -3 + v2 = 0 + -3 Reorder the terms: 3 + -3 + -0.5v + v2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -0.5v + v2 = 0 + -3 -0.5v + v2 = 0 + -3 Combine like terms: 0 + -3 = -3 -0.5v + v2 = -3 The v term is -0.5v. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5v + 0.0625 + v2 = -3 + 0.0625 Reorder the terms: 0.0625 + -0.5v + v2 = -3 + 0.0625 Combine like terms: -3 + 0.0625 = -2.9375 0.0625 + -0.5v + v2 = -2.9375 Factor a perfect square on the left side: (v + -0.25)(v + -0.25) = -2.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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