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Simplifying 3v2 + 21v + 46 = 0 Reorder the terms: 46 + 21v + 3v2 = 0 Solving 46 + 21v + 3v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 15.33333333 + 7v + v2 = 0 Move the constant term to the right: Add '-15.33333333' to each side of the equation. 15.33333333 + 7v + -15.33333333 + v2 = 0 + -15.33333333 Reorder the terms: 15.33333333 + -15.33333333 + 7v + v2 = 0 + -15.33333333 Combine like terms: 15.33333333 + -15.33333333 = 0.00000000 0.00000000 + 7v + v2 = 0 + -15.33333333 7v + v2 = 0 + -15.33333333 Combine like terms: 0 + -15.33333333 = -15.33333333 7v + v2 = -15.33333333 The v term is 7v. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7v + 12.25 + v2 = -15.33333333 + 12.25 Reorder the terms: 12.25 + 7v + v2 = -15.33333333 + 12.25 Combine like terms: -15.33333333 + 12.25 = -3.08333333 12.25 + 7v + v2 = -3.08333333 Factor a perfect square on the left side: (v + 3.5)(v + 3.5) = -3.08333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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