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Simplifying (5v2 + 2v + -5) + -1(8v2 + -6v + -2) + (-4v2 + -5v + -2) = 0 Reorder the terms: (-5 + 2v + 5v2) + -1(8v2 + -6v + -2) + (-4v2 + -5v + -2) = 0 Remove parenthesis around (-5 + 2v + 5v2) -5 + 2v + 5v2 + -1(8v2 + -6v + -2) + (-4v2 + -5v + -2) = 0 Reorder the terms: -5 + 2v + 5v2 + -1(-2 + -6v + 8v2) + (-4v2 + -5v + -2) = 0 -5 + 2v + 5v2 + (-2 * -1 + -6v * -1 + 8v2 * -1) + (-4v2 + -5v + -2) = 0 -5 + 2v + 5v2 + (2 + 6v + -8v2) + (-4v2 + -5v + -2) = 0 Reorder the terms: -5 + 2v + 5v2 + 2 + 6v + -8v2 + (-2 + -5v + -4v2) = 0 Remove parenthesis around (-2 + -5v + -4v2) -5 + 2v + 5v2 + 2 + 6v + -8v2 + -2 + -5v + -4v2 = 0 Reorder the terms: -5 + 2 + -2 + 2v + 6v + -5v + 5v2 + -8v2 + -4v2 = 0 Combine like terms: -5 + 2 = -3 -3 + -2 + 2v + 6v + -5v + 5v2 + -8v2 + -4v2 = 0 Combine like terms: -3 + -2 = -5 -5 + 2v + 6v + -5v + 5v2 + -8v2 + -4v2 = 0 Combine like terms: 2v + 6v = 8v -5 + 8v + -5v + 5v2 + -8v2 + -4v2 = 0 Combine like terms: 8v + -5v = 3v -5 + 3v + 5v2 + -8v2 + -4v2 = 0 Combine like terms: 5v2 + -8v2 = -3v2 -5 + 3v + -3v2 + -4v2 = 0 Combine like terms: -3v2 + -4v2 = -7v2 -5 + 3v + -7v2 = 0 Solving -5 + 3v + -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'. 0.7142857143 + -0.4285714286v + v2 = 0 Move the constant term to the right: Add '-0.7142857143' to each side of the equation. 0.7142857143 + -0.4285714286v + -0.7142857143 + v2 = 0 + -0.7142857143 Reorder the terms: 0.7142857143 + -0.7142857143 + -0.4285714286v + v2 = 0 + -0.7142857143 Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000 0.0000000000 + -0.4285714286v + v2 = 0 + -0.7142857143 -0.4285714286v + v2 = 0 + -0.7142857143 Combine like terms: 0 + -0.7142857143 = -0.7142857143 -0.4285714286v + v2 = -0.7142857143 The v term is -0.4285714286v. Take half its coefficient (-0.2142857143). Square it (0.04591836735) and add it to both sides. Add '0.04591836735' to each side of the equation. -0.4285714286v + 0.04591836735 + v2 = -0.7142857143 + 0.04591836735 Reorder the terms: 0.04591836735 + -0.4285714286v + v2 = -0.7142857143 + 0.04591836735 Combine like terms: -0.7142857143 + 0.04591836735 = -0.66836734695 0.04591836735 + -0.4285714286v + v2 = -0.66836734695 Factor a perfect square on the left side: (v + -0.2142857143)(v + -0.2142857143) = -0.66836734695 Can't calculate square root of the right side. The solution to this equation could not be determined.
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