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Simplifying (6v2 + -3v + 2) + (-5v2 + 4v + 1) = 0 Reorder the terms: (2 + -3v + 6v2) + (-5v2 + 4v + 1) = 0 Remove parenthesis around (2 + -3v + 6v2) 2 + -3v + 6v2 + (-5v2 + 4v + 1) = 0 Reorder the terms: 2 + -3v + 6v2 + (1 + 4v + -5v2) = 0 Remove parenthesis around (1 + 4v + -5v2) 2 + -3v + 6v2 + 1 + 4v + -5v2 = 0 Reorder the terms: 2 + 1 + -3v + 4v + 6v2 + -5v2 = 0 Combine like terms: 2 + 1 = 3 3 + -3v + 4v + 6v2 + -5v2 = 0 Combine like terms: -3v + 4v = 1v 3 + 1v + 6v2 + -5v2 = 0 Combine like terms: 6v2 + -5v2 = 1v2 3 + 1v + 1v2 = 0 Solving 3 + 1v + 1v2 = 0 Solving for variable 'v'. Begin completing the square. Move the constant term to the right: Add '-3' to each side of the equation. 3 + 1v + -3 + v2 = 0 + -3 Reorder the terms: 3 + -3 + 1v + v2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 1v + v2 = 0 + -3 1v + v2 = 0 + -3 Combine like terms: 0 + -3 = -3 1v + v2 = -3 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. v + 0.25 + v2 = -3 + 0.25 Reorder the terms: 0.25 + v + v2 = -3 + 0.25 Combine like terms: -3 + 0.25 = -2.75 0.25 + v + v2 = -2.75 Factor a perfect square on the left side: (v + 0.5)(v + 0.5) = -2.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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