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Simplifying v2 + 9v + 36 = 0 Reorder the terms: 36 + 9v + v2 = 0 Solving 36 + 9v + v2 = 0 Solving for variable 'v'. Begin completing the square. Move the constant term to the right: Add '-36' to each side of the equation. 36 + 9v + -36 + v2 = 0 + -36 Reorder the terms: 36 + -36 + 9v + v2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 9v + v2 = 0 + -36 9v + v2 = 0 + -36 Combine like terms: 0 + -36 = -36 9v + v2 = -36 The v term is 9v. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9v + 20.25 + v2 = -36 + 20.25 Reorder the terms: 20.25 + 9v + v2 = -36 + 20.25 Combine like terms: -36 + 20.25 = -15.75 20.25 + 9v + v2 = -15.75 Factor a perfect square on the left side: (v + 4.5)(v + 4.5) = -15.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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