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Simplifying v2 = -4v + -21 Reorder the terms: v2 = -21 + -4v Solving v2 = -21 + -4v Solving for variable 'v'. Reorder the terms: 21 + 4v + v2 = -21 + -4v + 21 + 4v Reorder the terms: 21 + 4v + v2 = -21 + 21 + -4v + 4v Combine like terms: -21 + 21 = 0 21 + 4v + v2 = 0 + -4v + 4v 21 + 4v + v2 = -4v + 4v Combine like terms: -4v + 4v = 0 21 + 4v + v2 = 0 Begin completing the square. Move the constant term to the right: Add '-21' to each side of the equation. 21 + 4v + -21 + v2 = 0 + -21 Reorder the terms: 21 + -21 + 4v + v2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 4v + v2 = 0 + -21 4v + v2 = 0 + -21 Combine like terms: 0 + -21 = -21 4v + v2 = -21 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 = -21 + 4 Reorder the terms: 4 + 4v + v2 = -21 + 4 Combine like terms: -21 + 4 = -17 4 + 4v + v2 = -17 Factor a perfect square on the left side: (v + 2)(v + 2) = -17 Can't calculate square root of the right side. The solution to this equation could not be determined.
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