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Simplifying (7v2 + 2v + 4) + (v2 + 6v + 5) = 0 Reorder the terms: (4 + 2v + 7v2) + (v2 + 6v + 5) = 0 Remove parenthesis around (4 + 2v + 7v2) 4 + 2v + 7v2 + (v2 + 6v + 5) = 0 Reorder the terms: 4 + 2v + 7v2 + (5 + 6v + v2) = 0 Remove parenthesis around (5 + 6v + v2) 4 + 2v + 7v2 + 5 + 6v + v2 = 0 Reorder the terms: 4 + 5 + 2v + 6v + 7v2 + v2 = 0 Combine like terms: 4 + 5 = 9 9 + 2v + 6v + 7v2 + v2 = 0 Combine like terms: 2v + 6v = 8v 9 + 8v + 7v2 + v2 = 0 Combine like terms: 7v2 + v2 = 8v2 9 + 8v + 8v2 = 0 Solving 9 + 8v + 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 + v + v2 = 0 Move the constant term to the right: Add '-1.125' to each side of the equation. 1.125 + v + -1.125 + v2 = 0 + -1.125 Reorder the terms: 1.125 + -1.125 + v + v2 = 0 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + v + v2 = 0 + -1.125 v + v2 = 0 + -1.125 Combine like terms: 0 + -1.125 = -1.125 v + v2 = -1.125 The v term is v. 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. + 0.25 + v2 = -1.125 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + v2 = -1.125 + 0.25 Combine like terms: -1.125 + 0.25 = -0.875 1.25 + v2 = -0.875 Factor a perfect square on the left side: (v + 0.5)(v + 0.5) = -0.875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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