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Simplifying (4a2 + 6a + 9)(2a + -3) = 0 Reorder the terms: (9 + 6a + 4a2)(2a + -3) = 0 Reorder the terms: (9 + 6a + 4a2)(-3 + 2a) = 0 Multiply (9 + 6a + 4a2) * (-3 + 2a) (9(-3 + 2a) + 6a * (-3 + 2a) + 4a2 * (-3 + 2a)) = 0 ((-3 * 9 + 2a * 9) + 6a * (-3 + 2a) + 4a2 * (-3 + 2a)) = 0 ((-27 + 18a) + 6a * (-3 + 2a) + 4a2 * (-3 + 2a)) = 0 (-27 + 18a + (-3 * 6a + 2a * 6a) + 4a2 * (-3 + 2a)) = 0 (-27 + 18a + (-18a + 12a2) + 4a2 * (-3 + 2a)) = 0 (-27 + 18a + -18a + 12a2 + (-3 * 4a2 + 2a * 4a2)) = 0 (-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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