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Simplifying (6a + 7)(2a + -3)(a + 4) = 0 Reorder the terms: (7 + 6a)(2a + -3)(a + 4) = 0 Reorder the terms: (7 + 6a)(-3 + 2a)(a + 4) = 0 Reorder the terms: (7 + 6a)(-3 + 2a)(4 + a) = 0 Multiply (7 + 6a) * (-3 + 2a) (7(-3 + 2a) + 6a * (-3 + 2a))(4 + a) = 0 ((-3 * 7 + 2a * 7) + 6a * (-3 + 2a))(4 + a) = 0 ((-21 + 14a) + 6a * (-3 + 2a))(4 + a) = 0 (-21 + 14a + (-3 * 6a + 2a * 6a))(4 + a) = 0 (-21 + 14a + (-18a + 12a2))(4 + a) = 0 Combine like terms: 14a + -18a = -4a (-21 + -4a + 12a2)(4 + a) = 0 Multiply (-21 + -4a + 12a2) * (4 + a) (-21(4 + a) + -4a * (4 + a) + 12a2 * (4 + a)) = 0 ((4 * -21 + a * -21) + -4a * (4 + a) + 12a2 * (4 + a)) = 0 ((-84 + -21a) + -4a * (4 + a) + 12a2 * (4 + a)) = 0 (-84 + -21a + (4 * -4a + a * -4a) + 12a2 * (4 + a)) = 0 (-84 + -21a + (-16a + -4a2) + 12a2 * (4 + a)) = 0 (-84 + -21a + -16a + -4a2 + (4 * 12a2 + a * 12a2)) = 0 (-84 + -21a + -16a + -4a2 + (48a2 + 12a3)) = 0 Combine like terms: -21a + -16a = -37a (-84 + -37a + -4a2 + 48a2 + 12a3) = 0 Combine like terms: -4a2 + 48a2 = 44a2 (-84 + -37a + 44a2 + 12a3) = 0 Solving -84 + -37a + 44a2 + 12a3 = 0 Solving for variable 'a'. The solution to this equation could not be determined.
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