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Simplifying (7v2 + -4v + 1) + (-6v2 + 3v + 5) = 0 Reorder the terms: (1 + -4v + 7v2) + (-6v2 + 3v + 5) = 0 Remove parenthesis around (1 + -4v + 7v2) 1 + -4v + 7v2 + (-6v2 + 3v + 5) = 0 Reorder the terms: 1 + -4v + 7v2 + (5 + 3v + -6v2) = 0 Remove parenthesis around (5 + 3v + -6v2) 1 + -4v + 7v2 + 5 + 3v + -6v2 = 0 Reorder the terms: 1 + 5 + -4v + 3v + 7v2 + -6v2 = 0 Combine like terms: 1 + 5 = 6 6 + -4v + 3v + 7v2 + -6v2 = 0 Combine like terms: -4v + 3v = -1v 6 + -1v + 7v2 + -6v2 = 0 Combine like terms: 7v2 + -6v2 = 1v2 6 + -1v + 1v2 = 0 Solving 6 + -1v + 1v2 = 0 Solving for variable 'v'. Begin completing the square. Move the constant term to the right: Add '-6' to each side of the equation. 6 + -1v + -6 + v2 = 0 + -6 Reorder the terms: 6 + -6 + -1v + v2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1v + v2 = 0 + -6 -1v + v2 = 0 + -6 Combine like terms: 0 + -6 = -6 -1v + v2 = -6 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 = -6 + 0.25 Reorder the terms: 0.25 + -1v + v2 = -6 + 0.25 Combine like terms: -6 + 0.25 = -5.75 0.25 + -1v + v2 = -5.75 Factor a perfect square on the left side: (v + -0.5)(v + -0.5) = -5.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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