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Simplifying 2v2 + 2v + 9 = 0 Reorder the terms: 9 + 2v + 2v2 = 0 Solving 9 + 2v + 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'. 4.5 + v + v2 = 0 Move the constant term to the right: Add '-4.5' to each side of the equation. 4.5 + v + -4.5 + v2 = 0 + -4.5 Reorder the terms: 4.5 + -4.5 + v + v2 = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + v + v2 = 0 + -4.5 v + v2 = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 v + v2 = -4.5 The v term is v. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + v2 = -4.5 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + v2 = -4.5 + 0.25 Combine like terms: -4.5 + 0.25 = -4.25 1.25 + v2 = -4.25 Factor a perfect square on the left side: (v + 0.5)(v + 0.5) = -4.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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