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Simplifying (4v2) + 20v + 39 = 0 Reorder the terms: 39 + 20v + (4v2) = 0 Solving 39 + 20v + (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'. 9.75 + 5v + v2 = 0 Move the constant term to the right: Add '-9.75' to each side of the equation. 9.75 + 5v + -9.75 + v2 = 0 + -9.75 Reorder the terms: 9.75 + -9.75 + 5v + v2 = 0 + -9.75 Combine like terms: 9.75 + -9.75 = 0.00 0.00 + 5v + v2 = 0 + -9.75 5v + v2 = 0 + -9.75 Combine like terms: 0 + -9.75 = -9.75 5v + v2 = -9.75 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 = -9.75 + 6.25 Reorder the terms: 6.25 + 5v + v2 = -9.75 + 6.25 Combine like terms: -9.75 + 6.25 = -3.5 6.25 + 5v + v2 = -3.5 Factor a perfect square on the left side: ((v) + 2.5)((v) + 2.5) = -3.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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