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Simplifying v2 + -4v = -6 Reorder the terms: -4v + v2 = -6 Solving -4v + v2 = -6 Solving for variable 'v'. Reorder the terms: 6 + -4v + v2 = -6 + 6 Combine like terms: -6 + 6 = 0 6 + -4v + v2 = 0 Begin completing the square. Move the constant term to the right: Add '-6' to each side of the equation. 6 + -4v + -6 + v2 = 0 + -6 Reorder the terms: 6 + -6 + -4v + v2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -4v + v2 = 0 + -6 -4v + v2 = 0 + -6 Combine like terms: 0 + -6 = -6 -4v + v2 = -6 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 = -6 + 4 Reorder the terms: 4 + -4v + v2 = -6 + 4 Combine like terms: -6 + 4 = -2 4 + -4v + v2 = -2 Factor a perfect square on the left side: (v + -2)(v + -2) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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