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Simplifying v2 + -19 + 100 = v Reorder the terms: -19 + 100 + v2 = v Combine like terms: -19 + 100 = 81 81 + v2 = v Solving 81 + v2 = v Solving for variable 'v'. Reorder the terms: 81 + -1v + v2 = v + -1v Combine like terms: v + -1v = 0 81 + -1v + v2 = 0 Begin completing the square. Move the constant term to the right: Add '-81' to each side of the equation. 81 + -1v + -81 + v2 = 0 + -81 Reorder the terms: 81 + -81 + -1v + v2 = 0 + -81 Combine like terms: 81 + -81 = 0 0 + -1v + v2 = 0 + -81 -1v + v2 = 0 + -81 Combine like terms: 0 + -81 = -81 -1v + v2 = -81 The v term is -1v. 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. -1v + 0.25 + v2 = -81 + 0.25 Reorder the terms: 0.25 + -1v + v2 = -81 + 0.25 Combine like terms: -81 + 0.25 = -80.75 0.25 + -1v + v2 = -80.75 Factor a perfect square on the left side: (v + -0.5)(v + -0.5) = -80.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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