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Simplifying (a2 + -4a + 4)(a2 + -4a + 4)(a + -2) = 0 Reorder the terms: (4 + -4a + a2)(a2 + -4a + 4)(a + -2) = 0 Reorder the terms: (4 + -4a + a2)(4 + -4a + a2)(a + -2) = 0 Reorder the terms: (4 + -4a + a2)(4 + -4a + a2)(-2 + a) = 0 Multiply (4 + -4a + a2) * (4 + -4a + a2) (4(4 + -4a + a2) + -4a * (4 + -4a + a2) + a2(4 + -4a + a2))(-2 + a) = 0 ((4 * 4 + -4a * 4 + a2 * 4) + -4a * (4 + -4a + a2) + a2(4 + -4a + a2))(-2 + a) = 0 ((16 + -16a + 4a2) + -4a * (4 + -4a + a2) + a2(4 + -4a + a2))(-2 + a) = 0 (16 + -16a + 4a2 + (4 * -4a + -4a * -4a + a2 * -4a) + a2(4 + -4a + a2))(-2 + a) = 0 (16 + -16a + 4a2 + (-16a + 16a2 + -4a3) + a2(4 + -4a + a2))(-2 + a) = 0 (16 + -16a + 4a2 + -16a + 16a2 + -4a3 + (4 * a2 + -4a * a2 + a2 * a2))(-2 + a) = 0 (16 + -16a + 4a2 + -16a + 16a2 + -4a3 + (4a2 + -4a3 + a4))(-2 + a) = 0 Reorder the terms: (16 + -16a + -16a + 4a2 + 16a2 + 4a2 + -4a3 + -4a3 + a4)(-2 + a) = 0 Combine like terms: -16a + -16a = -32a (16 + -32a + 4a2 + 16a2 + 4a2 + -4a3 + -4a3 + a4)(-2 + a) = 0 Combine like terms: 4a2 + 16a2 = 20a2 (16 + -32a + 20a2 + 4a2 + -4a3 + -4a3 + a4)(-2 + a) = 0 Combine like terms: 20a2 + 4a2 = 24a2 (16 + -32a + 24a2 + -4a3 + -4a3 + a4)(-2 + a) = 0 Combine like terms: -4a3 + -4a3 = -8a3 (16 + -32a + 24a2 + -8a3 + a4)(-2 + a) = 0 Multiply (16 + -32a + 24a2 + -8a3 + a4) * (-2 + a) (16(-2 + a) + -32a * (-2 + a) + 24a2 * (-2 + a) + -8a3 * (-2 + a) + a4(-2 + a)) = 0 ((-2 * 16 + a * 16) + -32a * (-2 + a) + 24a2 * (-2 + a) + -8a3 * (-2 + a) + a4(-2 + a)) = 0 ((-32 + 16a) + -32a * (-2 + a) + 24a2 * (-2 + a) + -8a3 * (-2 + a) + a4(-2 + a)) = 0 (-32 + 16a + (-2 * -32a + a * -32a) + 24a2 * (-2 + a) + -8a3 * (-2 + a) + a4(-2 + a)) = 0 (-32 + 16a + (64a + -32a2) + 24a2 * (-2 + a) + -8a3 * (-2 + a) + a4(-2 + a)) = 0 (-32 + 16a + 64a + -32a2 + (-2 * 24a2 + a * 24a2) + -8a3 * (-2 + a) + a4(-2 + a)) = 0 (-32 + 16a + 64a + -32a2 + (-48a2 + 24a3) + -8a3 * (-2 + a) + a4(-2 + a)) = 0 (-32 + 16a + 64a + -32a2 + -48a2 + 24a3 + (-2 * -8a3 + a * -8a3) + a4(-2 + a)) = 0 (-32 + 16a + 64a + -32a2 + -48a2 + 24a3 + (16a3 + -8a4) + a4(-2 + a)) = 0 (-32 + 16a + 64a + -32a2 + -48a2 + 24a3 + 16a3 + -8a4 + (-2 * a4 + a * a4)) = 0 (-32 + 16a + 64a + -32a2 + -48a2 + 24a3 + 16a3 + -8a4 + (-2a4 + a5)) = 0 Combine like terms: 16a + 64a = 80a (-32 + 80a + -32a2 + -48a2 + 24a3 + 16a3 + -8a4 + -2a4 + a5) = 0 Combine like terms: -32a2 + -48a2 = -80a2 (-32 + 80a + -80a2 + 24a3 + 16a3 + -8a4 + -2a4 + a5) = 0 Combine like terms: 24a3 + 16a3 = 40a3 (-32 + 80a + -80a2 + 40a3 + -8a4 + -2a4 + a5) = 0 Combine like terms: -8a4 + -2a4 = -10a4 (-32 + 80a + -80a2 + 40a3 + -10a4 + a5) = 0 Solving -32 + 80a + -80a2 + 40a3 + -10a4 + a5 = 0 Solving for variable 'a'. The solution to this equation could not be determined.
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