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Simplifying v2 + 27v + 189 = 0 Reorder the terms: 189 + 27v + v2 = 0 Solving 189 + 27v + v2 = 0 Solving for variable 'v'. Begin completing the square. Move the constant term to the right: Add '-189' to each side of the equation. 189 + 27v + -189 + v2 = 0 + -189 Reorder the terms: 189 + -189 + 27v + v2 = 0 + -189 Combine like terms: 189 + -189 = 0 0 + 27v + v2 = 0 + -189 27v + v2 = 0 + -189 Combine like terms: 0 + -189 = -189 27v + v2 = -189 The v term is 27v. Take half its coefficient (13.5). Square it (182.25) and add it to both sides. Add '182.25' to each side of the equation. 27v + 182.25 + v2 = -189 + 182.25 Reorder the terms: 182.25 + 27v + v2 = -189 + 182.25 Combine like terms: -189 + 182.25 = -6.75 182.25 + 27v + v2 = -6.75 Factor a perfect square on the left side: (v + 13.5)(v + 13.5) = -6.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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