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Simplifying 0 = v2 + -2v2 + -5v + -2 + -16 Reorder the terms: 0 = -2 + -16 + -5v + v2 + -2v2 Combine like terms: -2 + -16 = -18 0 = -18 + -5v + v2 + -2v2 Combine like terms: v2 + -2v2 = -1v2 0 = -18 + -5v + -1v2 Solving 0 = -18 + -5v + -1v2 Solving for variable 'v'. Combine like terms: 0 + 18 = 18 18 + 5v + v2 = -18 + -5v + -1v2 + 18 + 5v + v2 Reorder the terms: 18 + 5v + v2 = -18 + 18 + -5v + 5v + -1v2 + v2 Combine like terms: -18 + 18 = 0 18 + 5v + v2 = 0 + -5v + 5v + -1v2 + v2 18 + 5v + v2 = -5v + 5v + -1v2 + v2 Combine like terms: -5v + 5v = 0 18 + 5v + v2 = 0 + -1v2 + v2 18 + 5v + v2 = -1v2 + v2 Combine like terms: -1v2 + v2 = 0 18 + 5v + v2 = 0 Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + 5v + -18 + v2 = 0 + -18 Reorder the terms: 18 + -18 + 5v + v2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 5v + v2 = 0 + -18 5v + v2 = 0 + -18 Combine like terms: 0 + -18 = -18 5v + v2 = -18 The v term is 5v. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5v + 6.25 + v2 = -18 + 6.25 Reorder the terms: 6.25 + 5v + v2 = -18 + 6.25 Combine like terms: -18 + 6.25 = -11.75 6.25 + 5v + v2 = -11.75 Factor a perfect square on the left side: (v + 2.5)(v + 2.5) = -11.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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