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Simplifying v2 + v = -5 Reorder the terms: v + v2 = -5 Solving v + v2 = -5 Solving for variable 'v'. Reorder the terms: 5 + v + v2 = -5 + 5 Combine like terms: -5 + 5 = 0 5 + v + v2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + v + -5 + v2 = 0 + -5 Reorder the terms: 5 + -5 + v + v2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + v + v2 = 0 + -5 v + v2 = 0 + -5 Combine like terms: 0 + -5 = -5 v + v2 = -5 The v term is v. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. v + 0.25 + v2 = -5 + 0.25 Reorder the terms: 0.25 + v + v2 = -5 + 0.25 Combine like terms: -5 + 0.25 = -4.75 0.25 + v + v2 = -4.75 Factor a perfect square on the left side: (v + 0.5)(v + 0.5) = -4.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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