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Simplifying (4v2 + -6v + 2) + (-3v2 + 5v + 7) = 0 Reorder the terms: (2 + -6v + 4v2) + (-3v2 + 5v + 7) = 0 Remove parenthesis around (2 + -6v + 4v2) 2 + -6v + 4v2 + (-3v2 + 5v + 7) = 0 Reorder the terms: 2 + -6v + 4v2 + (7 + 5v + -3v2) = 0 Remove parenthesis around (7 + 5v + -3v2) 2 + -6v + 4v2 + 7 + 5v + -3v2 = 0 Reorder the terms: 2 + 7 + -6v + 5v + 4v2 + -3v2 = 0 Combine like terms: 2 + 7 = 9 9 + -6v + 5v + 4v2 + -3v2 = 0 Combine like terms: -6v + 5v = -1v 9 + -1v + 4v2 + -3v2 = 0 Combine like terms: 4v2 + -3v2 = 1v2 9 + -1v + 1v2 = 0 Solving 9 + -1v + 1v2 = 0 Solving for variable 'v'. Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + -1v + -9 + v2 = 0 + -9 Reorder the terms: 9 + -9 + -1v + v2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1v + v2 = 0 + -9 -1v + v2 = 0 + -9 Combine like terms: 0 + -9 = -9 -1v + v2 = -9 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 = -9 + 0.25 Reorder the terms: 0.25 + -1v + v2 = -9 + 0.25 Combine like terms: -9 + 0.25 = -8.75 0.25 + -1v + v2 = -8.75 Factor a perfect square on the left side: (v + -0.5)(v + -0.5) = -8.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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