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Simplifying (6v + -7u + 4)(3v + -7) = 0 Reorder the terms: (4 + -7u + 6v)(3v + -7) = 0 Reorder the terms: (4 + -7u + 6v)(-7 + 3v) = 0 Multiply (4 + -7u + 6v) * (-7 + 3v) (4(-7 + 3v) + -7u * (-7 + 3v) + 6v * (-7 + 3v)) = 0 ((-7 * 4 + 3v * 4) + -7u * (-7 + 3v) + 6v * (-7 + 3v)) = 0 ((-28 + 12v) + -7u * (-7 + 3v) + 6v * (-7 + 3v)) = 0 (-28 + 12v + (-7 * -7u + 3v * -7u) + 6v * (-7 + 3v)) = 0 (-28 + 12v + (49u + -21uv) + 6v * (-7 + 3v)) = 0 (-28 + 12v + 49u + -21uv + (-7 * 6v + 3v * 6v)) = 0 (-28 + 12v + 49u + -21uv + (-42v + 18v2)) = 0 Reorder the terms: (-28 + 49u + -21uv + 12v + -42v + 18v2) = 0 Combine like terms: 12v + -42v = -30v (-28 + 49u + -21uv + -30v + 18v2) = 0 Solving -28 + 49u + -21uv + -30v + 18v2 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 49u + -21uv + -30v + 28 + 18v2 = 0 + 28 Reorder the terms: -28 + 28 + 49u + -21uv + -30v + 18v2 = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 49u + -21uv + -30v + 18v2 = 0 + 28 49u + -21uv + -30v + 18v2 = 0 + 28 Combine like terms: 0 + 28 = 28 49u + -21uv + -30v + 18v2 = 28 Add '30v' to each side of the equation. 49u + -21uv + -30v + 30v + 18v2 = 28 + 30v Combine like terms: -30v + 30v = 0 49u + -21uv + 0 + 18v2 = 28 + 30v 49u + -21uv + 18v2 = 28 + 30v Add '-18v2' to each side of the equation. 49u + -21uv + 18v2 + -18v2 = 28 + 30v + -18v2 Combine like terms: 18v2 + -18v2 = 0 49u + -21uv + 0 = 28 + 30v + -18v2 49u + -21uv = 28 + 30v + -18v2 Reorder the terms: -28 + 49u + -21uv + -30v + 18v2 = 28 + 30v + -18v2 + -28 + -30v + 18v2 Reorder the terms: -28 + 49u + -21uv + -30v + 18v2 = 28 + -28 + 30v + -30v + -18v2 + 18v2 Combine like terms: 28 + -28 = 0 -28 + 49u + -21uv + -30v + 18v2 = 0 + 30v + -30v + -18v2 + 18v2 -28 + 49u + -21uv + -30v + 18v2 = 30v + -30v + -18v2 + 18v2 Combine like terms: 30v + -30v = 0 -28 + 49u + -21uv + -30v + 18v2 = 0 + -18v2 + 18v2 -28 + 49u + -21uv + -30v + 18v2 = -18v2 + 18v2 Combine like terms: -18v2 + 18v2 = 0 -28 + 49u + -21uv + -30v + 18v2 = 0 The solution to this equation could not be determined.
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