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Simplifying (5v2 + -3v + -2) + (4v2 + -7v + 6) = 0 Reorder the terms: (-2 + -3v + 5v2) + (4v2 + -7v + 6) = 0 Remove parenthesis around (-2 + -3v + 5v2) -2 + -3v + 5v2 + (4v2 + -7v + 6) = 0 Reorder the terms: -2 + -3v + 5v2 + (6 + -7v + 4v2) = 0 Remove parenthesis around (6 + -7v + 4v2) -2 + -3v + 5v2 + 6 + -7v + 4v2 = 0 Reorder the terms: -2 + 6 + -3v + -7v + 5v2 + 4v2 = 0 Combine like terms: -2 + 6 = 4 4 + -3v + -7v + 5v2 + 4v2 = 0 Combine like terms: -3v + -7v = -10v 4 + -10v + 5v2 + 4v2 = 0 Combine like terms: 5v2 + 4v2 = 9v2 4 + -10v + 9v2 = 0 Solving 4 + -10v + 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'. 0.4444444444 + -1.111111111v + v2 = 0 Move the constant term to the right: Add '-0.4444444444' to each side of the equation. 0.4444444444 + -1.111111111v + -0.4444444444 + v2 = 0 + -0.4444444444 Reorder the terms: 0.4444444444 + -0.4444444444 + -1.111111111v + v2 = 0 + -0.4444444444 Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000 0.0000000000 + -1.111111111v + v2 = 0 + -0.4444444444 -1.111111111v + v2 = 0 + -0.4444444444 Combine like terms: 0 + -0.4444444444 = -0.4444444444 -1.111111111v + v2 = -0.4444444444 The v term is -1.111111111v. Take half its coefficient (-0.5555555555). Square it (0.3086419752) and add it to both sides. Add '0.3086419752' to each side of the equation. -1.111111111v + 0.3086419752 + v2 = -0.4444444444 + 0.3086419752 Reorder the terms: 0.3086419752 + -1.111111111v + v2 = -0.4444444444 + 0.3086419752 Combine like terms: -0.4444444444 + 0.3086419752 = -0.1358024692 0.3086419752 + -1.111111111v + v2 = -0.1358024692 Factor a perfect square on the left side: (v + -0.5555555555)(v + -0.5555555555) = -0.1358024692 Can't calculate square root of the right side. The solution to this equation could not be determined.
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