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Simplifying 9v2 + -12v + 74 = 0 Reorder the terms: 74 + -12v + 9v2 = 0 Solving 74 + -12v + 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'. 8.222222222 + -1.333333333v + v2 = 0 Move the constant term to the right: Add '-8.222222222' to each side of the equation. 8.222222222 + -1.333333333v + -8.222222222 + v2 = 0 + -8.222222222 Reorder the terms: 8.222222222 + -8.222222222 + -1.333333333v + v2 = 0 + -8.222222222 Combine like terms: 8.222222222 + -8.222222222 = 0.000000000 0.000000000 + -1.333333333v + v2 = 0 + -8.222222222 -1.333333333v + v2 = 0 + -8.222222222 Combine like terms: 0 + -8.222222222 = -8.222222222 -1.333333333v + v2 = -8.222222222 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 = -8.222222222 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333v + v2 = -8.222222222 + 0.4444444442 Combine like terms: -8.222222222 + 0.4444444442 = -7.7777777778 0.4444444442 + -1.333333333v + v2 = -7.7777777778 Factor a perfect square on the left side: (v + -0.6666666665)(v + -0.6666666665) = -7.7777777778 Can't calculate square root of the right side. The solution to this equation could not be determined.
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