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Simplifying 2v2 + 10v + 13 = 0 Reorder the terms: 13 + 10v + 2v2 = 0 Solving 13 + 10v + 2v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 6.5 + 5v + v2 = 0 Move the constant term to the right: Add '-6.5' to each side of the equation. 6.5 + 5v + -6.5 + v2 = 0 + -6.5 Reorder the terms: 6.5 + -6.5 + 5v + v2 = 0 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + 5v + v2 = 0 + -6.5 5v + v2 = 0 + -6.5 Combine like terms: 0 + -6.5 = -6.5 5v + v2 = -6.5 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 = -6.5 + 6.25 Reorder the terms: 6.25 + 5v + v2 = -6.5 + 6.25 Combine like terms: -6.5 + 6.25 = -0.25 6.25 + 5v + v2 = -0.25 Factor a perfect square on the left side: (v + 2.5)(v + 2.5) = -0.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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