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Simplifying 3v2 + 24v + 68 = 0 Reorder the terms: 68 + 24v + 3v2 = 0 Solving 68 + 24v + 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'. 22.66666667 + 8v + v2 = 0 Move the constant term to the right: Add '-22.66666667' to each side of the equation. 22.66666667 + 8v + -22.66666667 + v2 = 0 + -22.66666667 Reorder the terms: 22.66666667 + -22.66666667 + 8v + v2 = 0 + -22.66666667 Combine like terms: 22.66666667 + -22.66666667 = 0.00000000 0.00000000 + 8v + v2 = 0 + -22.66666667 8v + v2 = 0 + -22.66666667 Combine like terms: 0 + -22.66666667 = -22.66666667 8v + v2 = -22.66666667 The v term is 8v. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8v + 16 + v2 = -22.66666667 + 16 Reorder the terms: 16 + 8v + v2 = -22.66666667 + 16 Combine like terms: -22.66666667 + 16 = -6.66666667 16 + 8v + v2 = -6.66666667 Factor a perfect square on the left side: (v + 4)(v + 4) = -6.66666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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