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Simplifying 9v2 + -43v + 68 = 0 Reorder the terms: 68 + -43v + 9v2 = 0 Solving 68 + -43v + 9v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 7.555555556 + -4.777777778v + v2 = 0 Move the constant term to the right: Add '-7.555555556' to each side of the equation. 7.555555556 + -4.777777778v + -7.555555556 + v2 = 0 + -7.555555556 Reorder the terms: 7.555555556 + -7.555555556 + -4.777777778v + v2 = 0 + -7.555555556 Combine like terms: 7.555555556 + -7.555555556 = 0.000000000 0.000000000 + -4.777777778v + v2 = 0 + -7.555555556 -4.777777778v + v2 = 0 + -7.555555556 Combine like terms: 0 + -7.555555556 = -7.555555556 -4.777777778v + v2 = -7.555555556 The v term is -4.777777778v. Take half its coefficient (-2.388888889). Square it (5.706790124) and add it to both sides. Add '5.706790124' to each side of the equation. -4.777777778v + 5.706790124 + v2 = -7.555555556 + 5.706790124 Reorder the terms: 5.706790124 + -4.777777778v + v2 = -7.555555556 + 5.706790124 Combine like terms: -7.555555556 + 5.706790124 = -1.848765432 5.706790124 + -4.777777778v + v2 = -1.848765432 Factor a perfect square on the left side: (v + -2.388888889)(v + -2.388888889) = -1.848765432 Can't calculate square root of the right side. The solution to this equation could not be determined.
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