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Simplifying (a + -4)(3a + 2)(a + 4) = 0 Reorder the terms: (-4 + a)(3a + 2)(a + 4) = 0 Reorder the terms: (-4 + a)(2 + 3a)(a + 4) = 0 Reorder the terms: (-4 + a)(2 + 3a)(4 + a) = 0 Multiply (-4 + a) * (2 + 3a) (-4(2 + 3a) + a(2 + 3a))(4 + a) = 0 ((2 * -4 + 3a * -4) + a(2 + 3a))(4 + a) = 0 ((-8 + -12a) + a(2 + 3a))(4 + a) = 0 (-8 + -12a + (2 * a + 3a * a))(4 + a) = 0 (-8 + -12a + (2a + 3a2))(4 + a) = 0 Combine like terms: -12a + 2a = -10a (-8 + -10a + 3a2)(4 + a) = 0 Multiply (-8 + -10a + 3a2) * (4 + a) (-8(4 + a) + -10a * (4 + a) + 3a2 * (4 + a)) = 0 ((4 * -8 + a * -8) + -10a * (4 + a) + 3a2 * (4 + a)) = 0 ((-32 + -8a) + -10a * (4 + a) + 3a2 * (4 + a)) = 0 (-32 + -8a + (4 * -10a + a * -10a) + 3a2 * (4 + a)) = 0 (-32 + -8a + (-40a + -10a2) + 3a2 * (4 + a)) = 0 (-32 + -8a + -40a + -10a2 + (4 * 3a2 + a * 3a2)) = 0 (-32 + -8a + -40a + -10a2 + (12a2 + 3a3)) = 0 Combine like terms: -8a + -40a = -48a (-32 + -48a + -10a2 + 12a2 + 3a3) = 0 Combine like terms: -10a2 + 12a2 = 2a2 (-32 + -48a + 2a2 + 3a3) = 0 Solving -32 + -48a + 2a2 + 3a3 = 0 Solving for variable 'a'. The solution to this equation could not be determined.
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