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Simplifying (2a + b)(3a + -1b)(4a + b) = 0 Multiply (2a + b) * (3a + -1b) (2a * (3a + -1b) + b(3a + -1b))(4a + b) = 0 ((3a * 2a + -1b * 2a) + b(3a + -1b))(4a + b) = 0 Reorder the terms: ((-2ab + 6a2) + b(3a + -1b))(4a + b) = 0 ((-2ab + 6a2) + b(3a + -1b))(4a + b) = 0 (-2ab + 6a2 + (3a * b + -1b * b))(4a + b) = 0 (-2ab + 6a2 + (3ab + -1b2))(4a + b) = 0 Reorder the terms: (-2ab + 3ab + 6a2 + -1b2)(4a + b) = 0 Combine like terms: -2ab + 3ab = 1ab (1ab + 6a2 + -1b2)(4a + b) = 0 Multiply (1ab + 6a2 + -1b2) * (4a + b) (1ab * (4a + b) + 6a2 * (4a + b) + -1b2 * (4a + b)) = 0 ((4a * 1ab + b * 1ab) + 6a2 * (4a + b) + -1b2 * (4a + b)) = 0 Reorder the terms: ((1ab2 + 4a2b) + 6a2 * (4a + b) + -1b2 * (4a + b)) = 0 ((1ab2 + 4a2b) + 6a2 * (4a + b) + -1b2 * (4a + b)) = 0 (1ab2 + 4a2b + (4a * 6a2 + b * 6a2) + -1b2 * (4a + b)) = 0 Reorder the terms: (1ab2 + 4a2b + (6a2b + 24a3) + -1b2 * (4a + b)) = 0 (1ab2 + 4a2b + (6a2b + 24a3) + -1b2 * (4a + b)) = 0 (1ab2 + 4a2b + 6a2b + 24a3 + (4a * -1b2 + b * -1b2)) = 0 (1ab2 + 4a2b + 6a2b + 24a3 + (-4ab2 + -1b3)) = 0 Reorder the terms: (1ab2 + -4ab2 + 4a2b + 6a2b + 24a3 + -1b3) = 0 Combine like terms: 1ab2 + -4ab2 = -3ab2 (-3ab2 + 4a2b + 6a2b + 24a3 + -1b3) = 0 Combine like terms: 4a2b + 6a2b = 10a2b (-3ab2 + 10a2b + 24a3 + -1b3) = 0 Solving -3ab2 + 10a2b + 24a3 + -1b3 = 0 Solving for variable 'a'. The solution to this equation could not be determined.
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