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Simplifying 5v2 + -20v + 60 = 6 Reorder the terms: 60 + -20v + 5v2 = 6 Solving 60 + -20v + 5v2 = 6 Solving for variable 'v'. Reorder the terms: 60 + -6 + -20v + 5v2 = 6 + -6 Combine like terms: 60 + -6 = 54 54 + -20v + 5v2 = 6 + -6 Combine like terms: 6 + -6 = 0 54 + -20v + 5v2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 10.8 + -4v + v2 = 0 Move the constant term to the right: Add '-10.8' to each side of the equation. 10.8 + -4v + -10.8 + v2 = 0 + -10.8 Reorder the terms: 10.8 + -10.8 + -4v + v2 = 0 + -10.8 Combine like terms: 10.8 + -10.8 = 0.0 0.0 + -4v + v2 = 0 + -10.8 -4v + v2 = 0 + -10.8 Combine like terms: 0 + -10.8 = -10.8 -4v + v2 = -10.8 The v term is -4v. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4v + 4 + v2 = -10.8 + 4 Reorder the terms: 4 + -4v + v2 = -10.8 + 4 Combine like terms: -10.8 + 4 = -6.8 4 + -4v + v2 = -6.8 Factor a perfect square on the left side: (v + -2)(v + -2) = -6.8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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