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Simplifying (2a + 3)(4a2 + -6a + 9) = 0 Reorder the terms: (3 + 2a)(4a2 + -6a + 9) = 0 Reorder the terms: (3 + 2a)(9 + -6a + 4a2) = 0 Multiply (3 + 2a) * (9 + -6a + 4a2) (3(9 + -6a + 4a2) + 2a * (9 + -6a + 4a2)) = 0 ((9 * 3 + -6a * 3 + 4a2 * 3) + 2a * (9 + -6a + 4a2)) = 0 ((27 + -18a + 12a2) + 2a * (9 + -6a + 4a2)) = 0 (27 + -18a + 12a2 + (9 * 2a + -6a * 2a + 4a2 * 2a)) = 0 (27 + -18a + 12a2 + (18a + -12a2 + 8a3)) = 0 Reorder the terms: (27 + -18a + 18a + 12a2 + -12a2 + 8a3) = 0 Combine like terms: -18a + 18a = 0 (27 + 0 + 12a2 + -12a2 + 8a3) = 0 (27 + 12a2 + -12a2 + 8a3) = 0 Combine like terms: 12a2 + -12a2 = 0 (27 + 0 + 8a3) = 0 (27 + 8a3) = 0 Solving 27 + 8a3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 8a3 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 8a3 = 0 + -27 8a3 = 0 + -27 Combine like terms: 0 + -27 = -27 8a3 = -27 Divide each side by '8'. a3 = -3.375 Simplifying a3 = -3.375 Reorder the terms: 3.375 + a3 = -3.375 + 3.375 Combine like terms: -3.375 + 3.375 = 0.000 3.375 + a3 = 0.000 The solution to this equation could not be determined.
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