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Simplifying 2v2 + 17v + 39 + -1v2 + -14v + -14 = 0 Reorder the terms: 39 + -14 + 17v + -14v + 2v2 + -1v2 = 0 Combine like terms: 39 + -14 = 25 25 + 17v + -14v + 2v2 + -1v2 = 0 Combine like terms: 17v + -14v = 3v 25 + 3v + 2v2 + -1v2 = 0 Combine like terms: 2v2 + -1v2 = 1v2 25 + 3v + 1v2 = 0 Solving 25 + 3v + 1v2 = 0 Solving for variable 'v'. Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + 3v + -25 + v2 = 0 + -25 Reorder the terms: 25 + -25 + 3v + v2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 3v + v2 = 0 + -25 3v + v2 = 0 + -25 Combine like terms: 0 + -25 = -25 3v + v2 = -25 The v term is 3v. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3v + 2.25 + v2 = -25 + 2.25 Reorder the terms: 2.25 + 3v + v2 = -25 + 2.25 Combine like terms: -25 + 2.25 = -22.75 2.25 + 3v + v2 = -22.75 Factor a perfect square on the left side: (v + 1.5)(v + 1.5) = -22.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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