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Simplifying (5v2 + v + 2) + (3v2 + 6v + 7) = 0 Reorder the terms: (2 + v + 5v2) + (3v2 + 6v + 7) = 0 Remove parenthesis around (2 + v + 5v2) 2 + v + 5v2 + (3v2 + 6v + 7) = 0 Reorder the terms: 2 + v + 5v2 + (7 + 6v + 3v2) = 0 Remove parenthesis around (7 + 6v + 3v2) 2 + v + 5v2 + 7 + 6v + 3v2 = 0 Reorder the terms: 2 + 7 + v + 6v + 5v2 + 3v2 = 0 Combine like terms: 2 + 7 = 9 9 + v + 6v + 5v2 + 3v2 = 0 Combine like terms: v + 6v = 7v 9 + 7v + 5v2 + 3v2 = 0 Combine like terms: 5v2 + 3v2 = 8v2 9 + 7v + 8v2 = 0 Solving 9 + 7v + 8v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.125 + 0.875v + v2 = 0 Move the constant term to the right: Add '-1.125' to each side of the equation. 1.125 + 0.875v + -1.125 + v2 = 0 + -1.125 Reorder the terms: 1.125 + -1.125 + 0.875v + v2 = 0 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + 0.875v + v2 = 0 + -1.125 0.875v + v2 = 0 + -1.125 Combine like terms: 0 + -1.125 = -1.125 0.875v + v2 = -1.125 The v term is 0.875v. Take half its coefficient (0.4375). Square it (0.19140625) and add it to both sides. Add '0.19140625' to each side of the equation. 0.875v + 0.19140625 + v2 = -1.125 + 0.19140625 Reorder the terms: 0.19140625 + 0.875v + v2 = -1.125 + 0.19140625 Combine like terms: -1.125 + 0.19140625 = -0.93359375 0.19140625 + 0.875v + v2 = -0.93359375 Factor a perfect square on the left side: (v + 0.4375)(v + 0.4375) = -0.93359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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