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Simplifying (6v2 + -1v + 2) + (-3v2 + 5v + 4) = 0 Reorder the terms: (2 + -1v + 6v2) + (-3v2 + 5v + 4) = 0 Remove parenthesis around (2 + -1v + 6v2) 2 + -1v + 6v2 + (-3v2 + 5v + 4) = 0 Reorder the terms: 2 + -1v + 6v2 + (4 + 5v + -3v2) = 0 Remove parenthesis around (4 + 5v + -3v2) 2 + -1v + 6v2 + 4 + 5v + -3v2 = 0 Reorder the terms: 2 + 4 + -1v + 5v + 6v2 + -3v2 = 0 Combine like terms: 2 + 4 = 6 6 + -1v + 5v + 6v2 + -3v2 = 0 Combine like terms: -1v + 5v = 4v 6 + 4v + 6v2 + -3v2 = 0 Combine like terms: 6v2 + -3v2 = 3v2 6 + 4v + 3v2 = 0 Solving 6 + 4v + 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'. 2 + 1.333333333v + v2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 1.333333333v + -2 + v2 = 0 + -2 Reorder the terms: 2 + -2 + 1.333333333v + v2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1.333333333v + v2 = 0 + -2 1.333333333v + v2 = 0 + -2 Combine like terms: 0 + -2 = -2 1.333333333v + v2 = -2 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 = -2 + 0.4444444442 Reorder the terms: 0.4444444442 + 1.333333333v + v2 = -2 + 0.4444444442 Combine like terms: -2 + 0.4444444442 = -1.5555555558 0.4444444442 + 1.333333333v + v2 = -1.5555555558 Factor a perfect square on the left side: (v + 0.6666666665)(v + 0.6666666665) = -1.5555555558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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