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Simplifying (a + -4)(2a + 3)(a + 4) = 0 Reorder the terms: (-4 + a)(2a + 3)(a + 4) = 0 Reorder the terms: (-4 + a)(3 + 2a)(a + 4) = 0 Reorder the terms: (-4 + a)(3 + 2a)(4 + a) = 0 Multiply (-4 + a) * (3 + 2a) (-4(3 + 2a) + a(3 + 2a))(4 + a) = 0 ((3 * -4 + 2a * -4) + a(3 + 2a))(4 + a) = 0 ((-12 + -8a) + a(3 + 2a))(4 + a) = 0 (-12 + -8a + (3 * a + 2a * a))(4 + a) = 0 (-12 + -8a + (3a + 2a2))(4 + a) = 0 Combine like terms: -8a + 3a = -5a (-12 + -5a + 2a2)(4 + a) = 0 Multiply (-12 + -5a + 2a2) * (4 + a) (-12(4 + a) + -5a * (4 + a) + 2a2 * (4 + a)) = 0 ((4 * -12 + a * -12) + -5a * (4 + a) + 2a2 * (4 + a)) = 0 ((-48 + -12a) + -5a * (4 + a) + 2a2 * (4 + a)) = 0 (-48 + -12a + (4 * -5a + a * -5a) + 2a2 * (4 + a)) = 0 (-48 + -12a + (-20a + -5a2) + 2a2 * (4 + a)) = 0 (-48 + -12a + -20a + -5a2 + (4 * 2a2 + a * 2a2)) = 0 (-48 + -12a + -20a + -5a2 + (8a2 + 2a3)) = 0 Combine like terms: -12a + -20a = -32a (-48 + -32a + -5a2 + 8a2 + 2a3) = 0 Combine like terms: -5a2 + 8a2 = 3a2 (-48 + -32a + 3a2 + 2a3) = 0 Solving -48 + -32a + 3a2 + 2a3 = 0 Solving for variable 'a'. The solution to this equation could not be determined.
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