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Simplifying v2 = 6v + -11 Reorder the terms: v2 = -11 + 6v Solving v2 = -11 + 6v Solving for variable 'v'. Reorder the terms: 11 + -6v + v2 = -11 + 6v + 11 + -6v Reorder the terms: 11 + -6v + v2 = -11 + 11 + 6v + -6v Combine like terms: -11 + 11 = 0 11 + -6v + v2 = 0 + 6v + -6v 11 + -6v + v2 = 6v + -6v Combine like terms: 6v + -6v = 0 11 + -6v + v2 = 0 Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + -6v + -11 + v2 = 0 + -11 Reorder the terms: 11 + -11 + -6v + v2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -6v + v2 = 0 + -11 -6v + v2 = 0 + -11 Combine like terms: 0 + -11 = -11 -6v + v2 = -11 The v term is -6v. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6v + 9 + v2 = -11 + 9 Reorder the terms: 9 + -6v + v2 = -11 + 9 Combine like terms: -11 + 9 = -2 9 + -6v + v2 = -2 Factor a perfect square on the left side: (v + -3)(v + -3) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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