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Simplifying (6u + -3w + -7)(7u + 2w + -5) = 0 Reorder the terms: (-7 + 6u + -3w)(7u + 2w + -5) = 0 Reorder the terms: (-7 + 6u + -3w)(-5 + 7u + 2w) = 0 Multiply (-7 + 6u + -3w) * (-5 + 7u + 2w) (-7(-5 + 7u + 2w) + 6u * (-5 + 7u + 2w) + -3w * (-5 + 7u + 2w)) = 0 ((-5 * -7 + 7u * -7 + 2w * -7) + 6u * (-5 + 7u + 2w) + -3w * (-5 + 7u + 2w)) = 0 ((35 + -49u + -14w) + 6u * (-5 + 7u + 2w) + -3w * (-5 + 7u + 2w)) = 0 (35 + -49u + -14w + (-5 * 6u + 7u * 6u + 2w * 6u) + -3w * (-5 + 7u + 2w)) = 0 Reorder the terms: (35 + -49u + -14w + (-30u + 12uw + 42u2) + -3w * (-5 + 7u + 2w)) = 0 (35 + -49u + -14w + (-30u + 12uw + 42u2) + -3w * (-5 + 7u + 2w)) = 0 (35 + -49u + -14w + -30u + 12uw + 42u2 + (-5 * -3w + 7u * -3w + 2w * -3w)) = 0 Reorder the terms: (35 + -49u + -14w + -30u + 12uw + 42u2 + (-21uw + 15w + -6w2)) = 0 (35 + -49u + -14w + -30u + 12uw + 42u2 + (-21uw + 15w + -6w2)) = 0 Reorder the terms: (35 + -49u + -30u + 12uw + -21uw + 42u2 + -14w + 15w + -6w2) = 0 Combine like terms: -49u + -30u = -79u (35 + -79u + 12uw + -21uw + 42u2 + -14w + 15w + -6w2) = 0 Combine like terms: 12uw + -21uw = -9uw (35 + -79u + -9uw + 42u2 + -14w + 15w + -6w2) = 0 Combine like terms: -14w + 15w = 1w (35 + -79u + -9uw + 42u2 + 1w + -6w2) = 0 Solving 35 + -79u + -9uw + 42u2 + 1w + -6w2 = 0 Solving for variable 'u'. The solution to this equation could not be determined.
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