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Simplifying 0.04v2 + 0.8v + 192 = 0 Reorder the terms: 192 + 0.8v + 0.04v2 = 0 Solving 192 + 0.8v + 0.04v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 0.04 the coefficient of the squared term: Divide each side by '0.04'. 4800 + 20v + v2 = 0 Move the constant term to the right: Add '-4800' to each side of the equation. 4800 + 20v + -4800 + v2 = 0 + -4800 Reorder the terms: 4800 + -4800 + 20v + v2 = 0 + -4800 Combine like terms: 4800 + -4800 = 0 0 + 20v + v2 = 0 + -4800 20v + v2 = 0 + -4800 Combine like terms: 0 + -4800 = -4800 20v + v2 = -4800 The v term is 20v. Take half its coefficient (10). Square it (100) and add it to both sides. Add '100' to each side of the equation. 20v + 100 + v2 = -4800 + 100 Reorder the terms: 100 + 20v + v2 = -4800 + 100 Combine like terms: -4800 + 100 = -4700 100 + 20v + v2 = -4700 Factor a perfect square on the left side: (v + 10)(v + 10) = -4700 Can't calculate square root of the right side. The solution to this equation could not be determined.
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