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Simplifying (3v2 + -1v + -2) + (7v2 + -4v + 5) = 0 Reorder the terms: (-2 + -1v + 3v2) + (7v2 + -4v + 5) = 0 Remove parenthesis around (-2 + -1v + 3v2) -2 + -1v + 3v2 + (7v2 + -4v + 5) = 0 Reorder the terms: -2 + -1v + 3v2 + (5 + -4v + 7v2) = 0 Remove parenthesis around (5 + -4v + 7v2) -2 + -1v + 3v2 + 5 + -4v + 7v2 = 0 Reorder the terms: -2 + 5 + -1v + -4v + 3v2 + 7v2 = 0 Combine like terms: -2 + 5 = 3 3 + -1v + -4v + 3v2 + 7v2 = 0 Combine like terms: -1v + -4v = -5v 3 + -5v + 3v2 + 7v2 = 0 Combine like terms: 3v2 + 7v2 = 10v2 3 + -5v + 10v2 = 0 Solving 3 + -5v + 10v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.3 + -0.5v + v2 = 0.0 Move the constant term to the right: Add '-0.3' to each side of the equation. 0.3 + -0.5v + -0.3 + v2 = 0.0 + -0.3 Reorder the terms: 0.3 + -0.3 + -0.5v + v2 = 0.0 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -0.5v + v2 = 0.0 + -0.3 -0.5v + v2 = 0.0 + -0.3 Combine like terms: 0.0 + -0.3 = -0.3 -0.5v + v2 = -0.3 The v term is -0.5v. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5v + 0.0625 + v2 = -0.3 + 0.0625 Reorder the terms: 0.0625 + -0.5v + v2 = -0.3 + 0.0625 Combine like terms: -0.3 + 0.0625 = -0.2375 0.0625 + -0.5v + v2 = -0.2375 Factor a perfect square on the left side: (v + -0.25)(v + -0.25) = -0.2375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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