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Simplifying 5v2 = -11 + 12v Solving 5v2 = -11 + 12v Solving for variable 'v'. Reorder the terms: 11 + -12v + 5v2 = -11 + 12v + 11 + -12v Reorder the terms: 11 + -12v + 5v2 = -11 + 11 + 12v + -12v Combine like terms: -11 + 11 = 0 11 + -12v + 5v2 = 0 + 12v + -12v 11 + -12v + 5v2 = 12v + -12v Combine like terms: 12v + -12v = 0 11 + -12v + 5v2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2.2 + -2.4v + v2 = 0 Move the constant term to the right: Add '-2.2' to each side of the equation. 2.2 + -2.4v + -2.2 + v2 = 0 + -2.2 Reorder the terms: 2.2 + -2.2 + -2.4v + v2 = 0 + -2.2 Combine like terms: 2.2 + -2.2 = 0.0 0.0 + -2.4v + v2 = 0 + -2.2 -2.4v + v2 = 0 + -2.2 Combine like terms: 0 + -2.2 = -2.2 -2.4v + v2 = -2.2 The v term is -2.4v. Take half its coefficient (-1.2). Square it (1.44) and add it to both sides. Add '1.44' to each side of the equation. -2.4v + 1.44 + v2 = -2.2 + 1.44 Reorder the terms: 1.44 + -2.4v + v2 = -2.2 + 1.44 Combine like terms: -2.2 + 1.44 = -0.76 1.44 + -2.4v + v2 = -0.76 Factor a perfect square on the left side: (v + -1.2)(v + -1.2) = -0.76 Can't calculate square root of the right side. The solution to this equation could not be determined.
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