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Simplifying 0.5v + v2 = -56 Solving 0.5v + v2 = -56 Solving for variable 'v'. Reorder the terms: 56 + 0.5v + v2 = -56 + 56 Combine like terms: -56 + 56 = 0 56 + 0.5v + v2 = 0 Begin completing the square. Move the constant term to the right: Add '-56' to each side of the equation. 56 + 0.5v + -56 + v2 = 0 + -56 Reorder the terms: 56 + -56 + 0.5v + v2 = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 0.5v + v2 = 0 + -56 0.5v + v2 = 0 + -56 Combine like terms: 0 + -56 = -56 0.5v + v2 = -56 The v term is 0.5v. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5v + 0.0625 + v2 = -56 + 0.0625 Reorder the terms: 0.0625 + 0.5v + v2 = -56 + 0.0625 Combine like terms: -56 + 0.0625 = -55.9375 0.0625 + 0.5v + v2 = -55.9375 Factor a perfect square on the left side: (v + 0.25)(v + 0.25) = -55.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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