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Simplifying 4v2 + 5v = -12 Reorder the terms: 5v + 4v2 = -12 Solving 5v + 4v2 = -12 Solving for variable 'v'. Reorder the terms: 12 + 5v + 4v2 = -12 + 12 Combine like terms: -12 + 12 = 0 12 + 5v + 4v2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 3 + 1.25v + v2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + 1.25v + -3 + v2 = 0 + -3 Reorder the terms: 3 + -3 + 1.25v + v2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 1.25v + v2 = 0 + -3 1.25v + v2 = 0 + -3 Combine like terms: 0 + -3 = -3 1.25v + v2 = -3 The v term is 1.25v. Take half its coefficient (0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. 1.25v + 0.390625 + v2 = -3 + 0.390625 Reorder the terms: 0.390625 + 1.25v + v2 = -3 + 0.390625 Combine like terms: -3 + 0.390625 = -2.609375 0.390625 + 1.25v + v2 = -2.609375 Factor a perfect square on the left side: (v + 0.625)(v + 0.625) = -2.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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