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Simplifying 2v2 + -4v = -5 Reorder the terms: -4v + 2v2 = -5 Solving -4v + 2v2 = -5 Solving for variable 'v'. Reorder the terms: 5 + -4v + 2v2 = -5 + 5 Combine like terms: -5 + 5 = 0 5 + -4v + 2v2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 2.5 + -2v + v2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + -2v + -2.5 + v2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + -2v + v2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -2v + v2 = 0 + -2.5 -2v + v2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 -2v + v2 = -2.5 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 = -2.5 + 1 Reorder the terms: 1 + -2v + v2 = -2.5 + 1 Combine like terms: -2.5 + 1 = -1.5 1 + -2v + v2 = -1.5 Factor a perfect square on the left side: (v + -1)(v + -1) = -1.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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