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Simplifying (7v2 + -3v + -1) + (2v2 + -6v + 5) = 0 Reorder the terms: (-1 + -3v + 7v2) + (2v2 + -6v + 5) = 0 Remove parenthesis around (-1 + -3v + 7v2) -1 + -3v + 7v2 + (2v2 + -6v + 5) = 0 Reorder the terms: -1 + -3v + 7v2 + (5 + -6v + 2v2) = 0 Remove parenthesis around (5 + -6v + 2v2) -1 + -3v + 7v2 + 5 + -6v + 2v2 = 0 Reorder the terms: -1 + 5 + -3v + -6v + 7v2 + 2v2 = 0 Combine like terms: -1 + 5 = 4 4 + -3v + -6v + 7v2 + 2v2 = 0 Combine like terms: -3v + -6v = -9v 4 + -9v + 7v2 + 2v2 = 0 Combine like terms: 7v2 + 2v2 = 9v2 4 + -9v + 9v2 = 0 Solving 4 + -9v + 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 + -1v + v2 = 0 Move the constant term to the right: Add '-0.4444444444' to each side of the equation. 0.4444444444 + -1v + -0.4444444444 + v2 = 0 + -0.4444444444 Reorder the terms: 0.4444444444 + -0.4444444444 + -1v + v2 = 0 + -0.4444444444 Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000 0.0000000000 + -1v + v2 = 0 + -0.4444444444 -1v + v2 = 0 + -0.4444444444 Combine like terms: 0 + -0.4444444444 = -0.4444444444 -1v + v2 = -0.4444444444 The v term is -1v. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1v + 0.25 + v2 = -0.4444444444 + 0.25 Reorder the terms: 0.25 + -1v + v2 = -0.4444444444 + 0.25 Combine like terms: -0.4444444444 + 0.25 = -0.1944444444 0.25 + -1v + v2 = -0.1944444444 Factor a perfect square on the left side: (v + -0.5)(v + -0.5) = -0.1944444444 Can't calculate square root of the right side. The solution to this equation could not be determined.
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