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Simplifying 9v2 + -12v + 1 = -4 Reorder the terms: 1 + -12v + 9v2 = -4 Solving 1 + -12v + 9v2 = -4 Solving for variable 'v'. Reorder the terms: 1 + 4 + -12v + 9v2 = -4 + 4 Combine like terms: 1 + 4 = 5 5 + -12v + 9v2 = -4 + 4 Combine like terms: -4 + 4 = 0 5 + -12v + 9v2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.5555555556 + -1.333333333v + v2 = 0 Move the constant term to the right: Add '-0.5555555556' to each side of the equation. 0.5555555556 + -1.333333333v + -0.5555555556 + v2 = 0 + -0.5555555556 Reorder the terms: 0.5555555556 + -0.5555555556 + -1.333333333v + v2 = 0 + -0.5555555556 Combine like terms: 0.5555555556 + -0.5555555556 = 0.0000000000 0.0000000000 + -1.333333333v + v2 = 0 + -0.5555555556 -1.333333333v + v2 = 0 + -0.5555555556 Combine like terms: 0 + -0.5555555556 = -0.5555555556 -1.333333333v + v2 = -0.5555555556 The v term is -1.333333333v. Take half its coefficient (-0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. -1.333333333v + 0.4444444442 + v2 = -0.5555555556 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333v + v2 = -0.5555555556 + 0.4444444442 Combine like terms: -0.5555555556 + 0.4444444442 = -0.1111111114 0.4444444442 + -1.333333333v + v2 = -0.1111111114 Factor a perfect square on the left side: (v + -0.6666666665)(v + -0.6666666665) = -0.1111111114 Can't calculate square root of the right side. The solution to this equation could not be determined.
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