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Simplifying (4 + -2a)(2a + -4)(a + -1) = 0 Reorder the terms: (4 + -2a)(-4 + 2a)(a + -1) = 0 Reorder the terms: (4 + -2a)(-4 + 2a)(-1 + a) = 0 Multiply (4 + -2a) * (-4 + 2a) (4(-4 + 2a) + -2a * (-4 + 2a))(-1 + a) = 0 ((-4 * 4 + 2a * 4) + -2a * (-4 + 2a))(-1 + a) = 0 ((-16 + 8a) + -2a * (-4 + 2a))(-1 + a) = 0 (-16 + 8a + (-4 * -2a + 2a * -2a))(-1 + a) = 0 (-16 + 8a + (8a + -4a2))(-1 + a) = 0 Combine like terms: 8a + 8a = 16a (-16 + 16a + -4a2)(-1 + a) = 0 Multiply (-16 + 16a + -4a2) * (-1 + a) (-16(-1 + a) + 16a * (-1 + a) + -4a2 * (-1 + a)) = 0 ((-1 * -16 + a * -16) + 16a * (-1 + a) + -4a2 * (-1 + a)) = 0 ((16 + -16a) + 16a * (-1 + a) + -4a2 * (-1 + a)) = 0 (16 + -16a + (-1 * 16a + a * 16a) + -4a2 * (-1 + a)) = 0 (16 + -16a + (-16a + 16a2) + -4a2 * (-1 + a)) = 0 (16 + -16a + -16a + 16a2 + (-1 * -4a2 + a * -4a2)) = 0 (16 + -16a + -16a + 16a2 + (4a2 + -4a3)) = 0 Combine like terms: -16a + -16a = -32a (16 + -32a + 16a2 + 4a2 + -4a3) = 0 Combine like terms: 16a2 + 4a2 = 20a2 (16 + -32a + 20a2 + -4a3) = 0 Solving 16 + -32a + 20a2 + -4a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4'. 4(4 + -8a + 5a2 + -1a3) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(4 + -8a + 5a2 + -1a3)' equal to zero and attempt to solve: Simplifying 4 + -8a + 5a2 + -1a3 = 0 Solving 4 + -8a + 5a2 + -1a3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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