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Simplifying v2 + -6v = -19 Reorder the terms: -6v + v2 = -19 Solving -6v + v2 = -19 Solving for variable 'v'. Reorder the terms: 19 + -6v + v2 = -19 + 19 Combine like terms: -19 + 19 = 0 19 + -6v + v2 = 0 Begin completing the square. Move the constant term to the right: Add '-19' to each side of the equation. 19 + -6v + -19 + v2 = 0 + -19 Reorder the terms: 19 + -19 + -6v + v2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -6v + v2 = 0 + -19 -6v + v2 = 0 + -19 Combine like terms: 0 + -19 = -19 -6v + v2 = -19 The v term is -6v. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6v + 9 + v2 = -19 + 9 Reorder the terms: 9 + -6v + v2 = -19 + 9 Combine like terms: -19 + 9 = -10 9 + -6v + v2 = -10 Factor a perfect square on the left side: (v + -3)(v + -3) = -10 Can't calculate square root of the right side. The solution to this equation could not be determined.
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