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Simplifying (a + -4)(5a + 2)(a + 4) = 0 Reorder the terms: (-4 + a)(5a + 2)(a + 4) = 0 Reorder the terms: (-4 + a)(2 + 5a)(a + 4) = 0 Reorder the terms: (-4 + a)(2 + 5a)(4 + a) = 0 Multiply (-4 + a) * (2 + 5a) (-4(2 + 5a) + a(2 + 5a))(4 + a) = 0 ((2 * -4 + 5a * -4) + a(2 + 5a))(4 + a) = 0 ((-8 + -20a) + a(2 + 5a))(4 + a) = 0 (-8 + -20a + (2 * a + 5a * a))(4 + a) = 0 (-8 + -20a + (2a + 5a2))(4 + a) = 0 Combine like terms: -20a + 2a = -18a (-8 + -18a + 5a2)(4 + a) = 0 Multiply (-8 + -18a + 5a2) * (4 + a) (-8(4 + a) + -18a * (4 + a) + 5a2 * (4 + a)) = 0 ((4 * -8 + a * -8) + -18a * (4 + a) + 5a2 * (4 + a)) = 0 ((-32 + -8a) + -18a * (4 + a) + 5a2 * (4 + a)) = 0 (-32 + -8a + (4 * -18a + a * -18a) + 5a2 * (4 + a)) = 0 (-32 + -8a + (-72a + -18a2) + 5a2 * (4 + a)) = 0 (-32 + -8a + -72a + -18a2 + (4 * 5a2 + a * 5a2)) = 0 (-32 + -8a + -72a + -18a2 + (20a2 + 5a3)) = 0 Combine like terms: -8a + -72a = -80a (-32 + -80a + -18a2 + 20a2 + 5a3) = 0 Combine like terms: -18a2 + 20a2 = 2a2 (-32 + -80a + 2a2 + 5a3) = 0 Solving -32 + -80a + 2a2 + 5a3 = 0 Solving for variable 'a'. The solution to this equation could not be determined.
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