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Simplifying (3a2 + -6a + 8) + (6a2 + -4)(2a2 + -1a + 12) = 0 Reorder the terms: (8 + -6a + 3a2) + (6a2 + -4)(2a2 + -1a + 12) = 0 Remove parenthesis around (8 + -6a + 3a2) 8 + -6a + 3a2 + (6a2 + -4)(2a2 + -1a + 12) = 0 Reorder the terms: 8 + -6a + 3a2 + (-4 + 6a2)(2a2 + -1a + 12) = 0 Reorder the terms: 8 + -6a + 3a2 + (-4 + 6a2)(12 + -1a + 2a2) = 0 Multiply (-4 + 6a2) * (12 + -1a + 2a2) 8 + -6a + 3a2 + (-4(12 + -1a + 2a2) + 6a2 * (12 + -1a + 2a2)) = 0 8 + -6a + 3a2 + ((12 * -4 + -1a * -4 + 2a2 * -4) + 6a2 * (12 + -1a + 2a2)) = 0 8 + -6a + 3a2 + ((-48 + 4a + -8a2) + 6a2 * (12 + -1a + 2a2)) = 0 8 + -6a + 3a2 + (-48 + 4a + -8a2 + (12 * 6a2 + -1a * 6a2 + 2a2 * 6a2)) = 0 8 + -6a + 3a2 + (-48 + 4a + -8a2 + (72a2 + -6a3 + 12a4)) = 0 Combine like terms: -8a2 + 72a2 = 64a2 8 + -6a + 3a2 + (-48 + 4a + 64a2 + -6a3 + 12a4) = 0 Reorder the terms: 8 + -48 + -6a + 4a + 3a2 + 64a2 + -6a3 + 12a4 = 0 Combine like terms: 8 + -48 = -40 -40 + -6a + 4a + 3a2 + 64a2 + -6a3 + 12a4 = 0 Combine like terms: -6a + 4a = -2a -40 + -2a + 3a2 + 64a2 + -6a3 + 12a4 = 0 Combine like terms: 3a2 + 64a2 = 67a2 -40 + -2a + 67a2 + -6a3 + 12a4 = 0 Solving -40 + -2a + 67a2 + -6a3 + 12a4 = 0 Solving for variable 'a'. The solution to this equation could not be determined.
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