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Simplifying 0.003v2 + 0.03v + 12.2 = 0 Reorder the terms: 12.2 + 0.03v + 0.003v2 = 0 Solving 12.2 + 0.03v + 0.003v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 0.003 the coefficient of the squared term: Divide each side by '0.003'. 4066.666667 + 10v + v2 = 0 Move the constant term to the right: Add '-4066.666667' to each side of the equation. 4066.666667 + 10v + -4066.666667 + v2 = 0 + -4066.666667 Reorder the terms: 4066.666667 + -4066.666667 + 10v + v2 = 0 + -4066.666667 Combine like terms: 4066.666667 + -4066.666667 = 0.000000 0.000000 + 10v + v2 = 0 + -4066.666667 10v + v2 = 0 + -4066.666667 Combine like terms: 0 + -4066.666667 = -4066.666667 10v + v2 = -4066.666667 The v term is 10v. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10v + 25 + v2 = -4066.666667 + 25 Reorder the terms: 25 + 10v + v2 = -4066.666667 + 25 Combine like terms: -4066.666667 + 25 = -4041.666667 25 + 10v + v2 = -4041.666667 Factor a perfect square on the left side: (v + 5)(v + 5) = -4041.666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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