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Simplifying v2 + 4v + 69 = 9 Reorder the terms: 69 + 4v + v2 = 9 Solving 69 + 4v + v2 = 9 Solving for variable 'v'. Reorder the terms: 69 + -9 + 4v + v2 = 9 + -9 Combine like terms: 69 + -9 = 60 60 + 4v + v2 = 9 + -9 Combine like terms: 9 + -9 = 0 60 + 4v + v2 = 0 Begin completing the square. Move the constant term to the right: Add '-60' to each side of the equation. 60 + 4v + -60 + v2 = 0 + -60 Reorder the terms: 60 + -60 + 4v + v2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 4v + v2 = 0 + -60 4v + v2 = 0 + -60 Combine like terms: 0 + -60 = -60 4v + v2 = -60 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 = -60 + 4 Reorder the terms: 4 + 4v + v2 = -60 + 4 Combine like terms: -60 + 4 = -56 4 + 4v + v2 = -56 Factor a perfect square on the left side: (v + 2)(v + 2) = -56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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