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Simplifying v2 + -10v + 25 = -2v Reorder the terms: 25 + -10v + v2 = -2v Solving 25 + -10v + v2 = -2v Solving for variable 'v'. Reorder the terms: 25 + -10v + 2v + v2 = -2v + 2v Combine like terms: -10v + 2v = -8v 25 + -8v + v2 = -2v + 2v Combine like terms: -2v + 2v = 0 25 + -8v + v2 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + -8v + -25 + v2 = 0 + -25 Reorder the terms: 25 + -25 + -8v + v2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -8v + v2 = 0 + -25 -8v + v2 = 0 + -25 Combine like terms: 0 + -25 = -25 -8v + v2 = -25 The v term is -8v. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8v + 16 + v2 = -25 + 16 Reorder the terms: 16 + -8v + v2 = -25 + 16 Combine like terms: -25 + 16 = -9 16 + -8v + v2 = -9 Factor a perfect square on the left side: (v + -4)(v + -4) = -9 Can't calculate square root of the right side. The solution to this equation could not be determined.
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