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Simplifying 4v2 + -1v + 2 = 0 Reorder the terms: 2 + -1v + 4v2 = 0 Solving 2 + -1v + 4v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.5 + -0.25v + v2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -0.25v + -0.5 + v2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -0.25v + v2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.25v + v2 = 0 + -0.5 -0.25v + v2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -0.25v + v2 = -0.5 The v term is -0.25v. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25v + 0.015625 + v2 = -0.5 + 0.015625 Reorder the terms: 0.015625 + -0.25v + v2 = -0.5 + 0.015625 Combine like terms: -0.5 + 0.015625 = -0.484375 0.015625 + -0.25v + v2 = -0.484375 Factor a perfect square on the left side: (v + -0.125)(v + -0.125) = -0.484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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