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Simplifying v2 + 3v = -5 Reorder the terms: 3v + v2 = -5 Solving 3v + v2 = -5 Solving for variable 'v'. Reorder the terms: 5 + 3v + v2 = -5 + 5 Combine like terms: -5 + 5 = 0 5 + 3v + v2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + 3v + -5 + v2 = 0 + -5 Reorder the terms: 5 + -5 + 3v + v2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3v + v2 = 0 + -5 3v + v2 = 0 + -5 Combine like terms: 0 + -5 = -5 3v + v2 = -5 The v term is 3v. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3v + 2.25 + v2 = -5 + 2.25 Reorder the terms: 2.25 + 3v + v2 = -5 + 2.25 Combine like terms: -5 + 2.25 = -2.75 2.25 + 3v + v2 = -2.75 Factor a perfect square on the left side: (v + 1.5)(v + 1.5) = -2.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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