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Simplifying (2v + 1)(3v + 5u + -5) = 0 Reorder the terms: (1 + 2v)(3v + 5u + -5) = 0 Reorder the terms: (1 + 2v)(-5 + 5u + 3v) = 0 Multiply (1 + 2v) * (-5 + 5u + 3v) (1(-5 + 5u + 3v) + 2v * (-5 + 5u + 3v)) = 0 ((-5 * 1 + 5u * 1 + 3v * 1) + 2v * (-5 + 5u + 3v)) = 0 ((-5 + 5u + 3v) + 2v * (-5 + 5u + 3v)) = 0 (-5 + 5u + 3v + (-5 * 2v + 5u * 2v + 3v * 2v)) = 0 Reorder the terms: (-5 + 5u + 3v + (10uv + -10v + 6v2)) = 0 (-5 + 5u + 3v + (10uv + -10v + 6v2)) = 0 Reorder the terms: (-5 + 5u + 10uv + 3v + -10v + 6v2) = 0 Combine like terms: 3v + -10v = -7v (-5 + 5u + 10uv + -7v + 6v2) = 0 Solving -5 + 5u + 10uv + -7v + 6v2 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5u + 10uv + -7v + 5 + 6v2 = 0 + 5 Reorder the terms: -5 + 5 + 5u + 10uv + -7v + 6v2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 5u + 10uv + -7v + 6v2 = 0 + 5 5u + 10uv + -7v + 6v2 = 0 + 5 Combine like terms: 0 + 5 = 5 5u + 10uv + -7v + 6v2 = 5 Add '7v' to each side of the equation. 5u + 10uv + -7v + 7v + 6v2 = 5 + 7v Combine like terms: -7v + 7v = 0 5u + 10uv + 0 + 6v2 = 5 + 7v 5u + 10uv + 6v2 = 5 + 7v Add '-6v2' to each side of the equation. 5u + 10uv + 6v2 + -6v2 = 5 + 7v + -6v2 Combine like terms: 6v2 + -6v2 = 0 5u + 10uv + 0 = 5 + 7v + -6v2 5u + 10uv = 5 + 7v + -6v2 Reorder the terms: -5 + 5u + 10uv + -7v + 6v2 = 5 + 7v + -6v2 + -5 + -7v + 6v2 Reorder the terms: -5 + 5u + 10uv + -7v + 6v2 = 5 + -5 + 7v + -7v + -6v2 + 6v2 Combine like terms: 5 + -5 = 0 -5 + 5u + 10uv + -7v + 6v2 = 0 + 7v + -7v + -6v2 + 6v2 -5 + 5u + 10uv + -7v + 6v2 = 7v + -7v + -6v2 + 6v2 Combine like terms: 7v + -7v = 0 -5 + 5u + 10uv + -7v + 6v2 = 0 + -6v2 + 6v2 -5 + 5u + 10uv + -7v + 6v2 = -6v2 + 6v2 Combine like terms: -6v2 + 6v2 = 0 -5 + 5u + 10uv + -7v + 6v2 = 0 The solution to this equation could not be determined.
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