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Simplifying (3v + -2)(2v + 7u + -4) = 0 Reorder the terms: (-2 + 3v)(2v + 7u + -4) = 0 Reorder the terms: (-2 + 3v)(-4 + 7u + 2v) = 0 Multiply (-2 + 3v) * (-4 + 7u + 2v) (-2(-4 + 7u + 2v) + 3v * (-4 + 7u + 2v)) = 0 ((-4 * -2 + 7u * -2 + 2v * -2) + 3v * (-4 + 7u + 2v)) = 0 ((8 + -14u + -4v) + 3v * (-4 + 7u + 2v)) = 0 (8 + -14u + -4v + (-4 * 3v + 7u * 3v + 2v * 3v)) = 0 Reorder the terms: (8 + -14u + -4v + (21uv + -12v + 6v2)) = 0 (8 + -14u + -4v + (21uv + -12v + 6v2)) = 0 Reorder the terms: (8 + -14u + 21uv + -4v + -12v + 6v2) = 0 Combine like terms: -4v + -12v = -16v (8 + -14u + 21uv + -16v + 6v2) = 0 Solving 8 + -14u + 21uv + -16v + 6v2 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -14u + 21uv + -16v + -8 + 6v2 = 0 + -8 Reorder the terms: 8 + -8 + -14u + 21uv + -16v + 6v2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -14u + 21uv + -16v + 6v2 = 0 + -8 -14u + 21uv + -16v + 6v2 = 0 + -8 Combine like terms: 0 + -8 = -8 -14u + 21uv + -16v + 6v2 = -8 Add '16v' to each side of the equation. -14u + 21uv + -16v + 16v + 6v2 = -8 + 16v Combine like terms: -16v + 16v = 0 -14u + 21uv + 0 + 6v2 = -8 + 16v -14u + 21uv + 6v2 = -8 + 16v Add '-6v2' to each side of the equation. -14u + 21uv + 6v2 + -6v2 = -8 + 16v + -6v2 Combine like terms: 6v2 + -6v2 = 0 -14u + 21uv + 0 = -8 + 16v + -6v2 -14u + 21uv = -8 + 16v + -6v2 Reorder the terms: 8 + -14u + 21uv + -16v + 6v2 = -8 + 16v + -6v2 + 8 + -16v + 6v2 Reorder the terms: 8 + -14u + 21uv + -16v + 6v2 = -8 + 8 + 16v + -16v + -6v2 + 6v2 Combine like terms: -8 + 8 = 0 8 + -14u + 21uv + -16v + 6v2 = 0 + 16v + -16v + -6v2 + 6v2 8 + -14u + 21uv + -16v + 6v2 = 16v + -16v + -6v2 + 6v2 Combine like terms: 16v + -16v = 0 8 + -14u + 21uv + -16v + 6v2 = 0 + -6v2 + 6v2 8 + -14u + 21uv + -16v + 6v2 = -6v2 + 6v2 Combine like terms: -6v2 + 6v2 = 0 8 + -14u + 21uv + -16v + 6v2 = 0 The solution to this equation could not be determined.
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