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Simplifying (-7v2 + 7v + -9) + (-5v2 + -4v + 7) + -1(-5v2 + -2v + 9) = 0 Reorder the terms: (-9 + 7v + -7v2) + (-5v2 + -4v + 7) + -1(-5v2 + -2v + 9) = 0 Remove parenthesis around (-9 + 7v + -7v2) -9 + 7v + -7v2 + (-5v2 + -4v + 7) + -1(-5v2 + -2v + 9) = 0 Reorder the terms: -9 + 7v + -7v2 + (7 + -4v + -5v2) + -1(-5v2 + -2v + 9) = 0 Remove parenthesis around (7 + -4v + -5v2) -9 + 7v + -7v2 + 7 + -4v + -5v2 + -1(-5v2 + -2v + 9) = 0 Reorder the terms: -9 + 7v + -7v2 + 7 + -4v + -5v2 + -1(9 + -2v + -5v2) = 0 -9 + 7v + -7v2 + 7 + -4v + -5v2 + (9 * -1 + -2v * -1 + -5v2 * -1) = 0 -9 + 7v + -7v2 + 7 + -4v + -5v2 + (-9 + 2v + 5v2) = 0 Reorder the terms: -9 + 7 + -9 + 7v + -4v + 2v + -7v2 + -5v2 + 5v2 = 0 Combine like terms: -9 + 7 = -2 -2 + -9 + 7v + -4v + 2v + -7v2 + -5v2 + 5v2 = 0 Combine like terms: -2 + -9 = -11 -11 + 7v + -4v + 2v + -7v2 + -5v2 + 5v2 = 0 Combine like terms: 7v + -4v = 3v -11 + 3v + 2v + -7v2 + -5v2 + 5v2 = 0 Combine like terms: 3v + 2v = 5v -11 + 5v + -7v2 + -5v2 + 5v2 = 0 Combine like terms: -7v2 + -5v2 = -12v2 -11 + 5v + -12v2 + 5v2 = 0 Combine like terms: -12v2 + 5v2 = -7v2 -11 + 5v + -7v2 = 0 Solving -11 + 5v + -7v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. 1.571428571 + -0.7142857143v + v2 = 0 Move the constant term to the right: Add '-1.571428571' to each side of the equation. 1.571428571 + -0.7142857143v + -1.571428571 + v2 = 0 + -1.571428571 Reorder the terms: 1.571428571 + -1.571428571 + -0.7142857143v + v2 = 0 + -1.571428571 Combine like terms: 1.571428571 + -1.571428571 = 0.000000000 0.000000000 + -0.7142857143v + v2 = 0 + -1.571428571 -0.7142857143v + v2 = 0 + -1.571428571 Combine like terms: 0 + -1.571428571 = -1.571428571 -0.7142857143v + v2 = -1.571428571 The v term is -0.7142857143v. Take half its coefficient (-0.3571428572). Square it (0.1275510204) and add it to both sides. Add '0.1275510204' to each side of the equation. -0.7142857143v + 0.1275510204 + v2 = -1.571428571 + 0.1275510204 Reorder the terms: 0.1275510204 + -0.7142857143v + v2 = -1.571428571 + 0.1275510204 Combine like terms: -1.571428571 + 0.1275510204 = -1.4438775506 0.1275510204 + -0.7142857143v + v2 = -1.4438775506 Factor a perfect square on the left side: (v + -0.3571428572)(v + -0.3571428572) = -1.4438775506 Can't calculate square root of the right side. The solution to this equation could not be determined.
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