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Simplifying (5v + -2)(4v + 3u + 1) = 0 Reorder the terms: (-2 + 5v)(4v + 3u + 1) = 0 Reorder the terms: (-2 + 5v)(1 + 3u + 4v) = 0 Multiply (-2 + 5v) * (1 + 3u + 4v) (-2(1 + 3u + 4v) + 5v * (1 + 3u + 4v)) = 0 ((1 * -2 + 3u * -2 + 4v * -2) + 5v * (1 + 3u + 4v)) = 0 ((-2 + -6u + -8v) + 5v * (1 + 3u + 4v)) = 0 (-2 + -6u + -8v + (1 * 5v + 3u * 5v + 4v * 5v)) = 0 Reorder the terms: (-2 + -6u + -8v + (15uv + 5v + 20v2)) = 0 (-2 + -6u + -8v + (15uv + 5v + 20v2)) = 0 Reorder the terms: (-2 + -6u + 15uv + -8v + 5v + 20v2) = 0 Combine like terms: -8v + 5v = -3v (-2 + -6u + 15uv + -3v + 20v2) = 0 Solving -2 + -6u + 15uv + -3v + 20v2 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -6u + 15uv + -3v + 2 + 20v2 = 0 + 2 Reorder the terms: -2 + 2 + -6u + 15uv + -3v + 20v2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -6u + 15uv + -3v + 20v2 = 0 + 2 -6u + 15uv + -3v + 20v2 = 0 + 2 Combine like terms: 0 + 2 = 2 -6u + 15uv + -3v + 20v2 = 2 Add '3v' to each side of the equation. -6u + 15uv + -3v + 3v + 20v2 = 2 + 3v Combine like terms: -3v + 3v = 0 -6u + 15uv + 0 + 20v2 = 2 + 3v -6u + 15uv + 20v2 = 2 + 3v Add '-20v2' to each side of the equation. -6u + 15uv + 20v2 + -20v2 = 2 + 3v + -20v2 Combine like terms: 20v2 + -20v2 = 0 -6u + 15uv + 0 = 2 + 3v + -20v2 -6u + 15uv = 2 + 3v + -20v2 Reorder the terms: -2 + -6u + 15uv + -3v + 20v2 = 2 + 3v + -20v2 + -2 + -3v + 20v2 Reorder the terms: -2 + -6u + 15uv + -3v + 20v2 = 2 + -2 + 3v + -3v + -20v2 + 20v2 Combine like terms: 2 + -2 = 0 -2 + -6u + 15uv + -3v + 20v2 = 0 + 3v + -3v + -20v2 + 20v2 -2 + -6u + 15uv + -3v + 20v2 = 3v + -3v + -20v2 + 20v2 Combine like terms: 3v + -3v = 0 -2 + -6u + 15uv + -3v + 20v2 = 0 + -20v2 + 20v2 -2 + -6u + 15uv + -3v + 20v2 = -20v2 + 20v2 Combine like terms: -20v2 + 20v2 = 0 -2 + -6u + 15uv + -3v + 20v2 = 0 The solution to this equation could not be determined.
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