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