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Simplifying -5v2 + 11v + -14 = 0 Reorder the terms: -14 + 11v + -5v2 = 0 Solving -14 + 11v + -5v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 2.8 + -2.2v + v2 = 0 Move the constant term to the right: Add '-2.8' to each side of the equation. 2.8 + -2.2v + -2.8 + v2 = 0 + -2.8 Reorder the terms: 2.8 + -2.8 + -2.2v + v2 = 0 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + -2.2v + v2 = 0 + -2.8 -2.2v + v2 = 0 + -2.8 Combine like terms: 0 + -2.8 = -2.8 -2.2v + v2 = -2.8 The v term is -2.2v. Take half its coefficient (-1.1). Square it (1.21) and add it to both sides. Add '1.21' to each side of the equation. -2.2v + 1.21 + v2 = -2.8 + 1.21 Reorder the terms: 1.21 + -2.2v + v2 = -2.8 + 1.21 Combine like terms: -2.8 + 1.21 = -1.59 1.21 + -2.2v + v2 = -1.59 Factor a perfect square on the left side: (v + -1.1)(v + -1.1) = -1.59 Can't calculate square root of the right side. The solution to this equation could not be determined.
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