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Simplifying 384.16 = 19.6v + -1v2 Solving 384.16 = 19.6v + -1v2 Solving for variable 'v'. Reorder the terms: 384.16 + -19.6v + v2 = 19.6v + -19.6v + -1v2 + v2 Combine like terms: 19.6v + -19.6v = 0.0 384.16 + -19.6v + v2 = 0.0 + -1v2 + v2 384.16 + -19.6v + v2 = -1v2 + v2 Combine like terms: -1v2 + v2 = 0 384.16 + -19.6v + v2 = 0 Begin completing the square. Move the constant term to the right: Add '-384.16' to each side of the equation. 384.16 + -19.6v + -384.16 + v2 = 0 + -384.16 Reorder the terms: 384.16 + -384.16 + -19.6v + v2 = 0 + -384.16 Combine like terms: 384.16 + -384.16 = 0.00 0.00 + -19.6v + v2 = 0 + -384.16 -19.6v + v2 = 0 + -384.16 Combine like terms: 0 + -384.16 = -384.16 -19.6v + v2 = -384.16 The v term is -19.6v. Take half its coefficient (-9.8). Square it (96.04) and add it to both sides. Add '96.04' to each side of the equation. -19.6v + 96.04 + v2 = -384.16 + 96.04 Reorder the terms: 96.04 + -19.6v + v2 = -384.16 + 96.04 Combine like terms: -384.16 + 96.04 = -288.12 96.04 + -19.6v + v2 = -288.12 Factor a perfect square on the left side: (v + -9.8)(v + -9.8) = -288.12 Can't calculate square root of the right side. The solution to this equation could not be determined.
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