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Simplifying (3a + 2b)(9a2 + -6ab + 4b2) = 0 Reorder the terms: (3a + 2b)(-6ab + 9a2 + 4b2) = 0 Multiply (3a + 2b) * (-6ab + 9a2 + 4b2) (3a * (-6ab + 9a2 + 4b2) + 2b * (-6ab + 9a2 + 4b2)) = 0 ((-6ab * 3a + 9a2 * 3a + 4b2 * 3a) + 2b * (-6ab + 9a2 + 4b2)) = 0 Reorder the terms: ((12ab2 + -18a2b + 27a3) + 2b * (-6ab + 9a2 + 4b2)) = 0 ((12ab2 + -18a2b + 27a3) + 2b * (-6ab + 9a2 + 4b2)) = 0 (12ab2 + -18a2b + 27a3 + (-6ab * 2b + 9a2 * 2b + 4b2 * 2b)) = 0 (12ab2 + -18a2b + 27a3 + (-12ab2 + 18a2b + 8b3)) = 0 Reorder the terms: (12ab2 + -12ab2 + -18a2b + 18a2b + 27a3 + 8b3) = 0 Combine like terms: 12ab2 + -12ab2 = 0 (0 + -18a2b + 18a2b + 27a3 + 8b3) = 0 (-18a2b + 18a2b + 27a3 + 8b3) = 0 Combine like terms: -18a2b + 18a2b = 0 (0 + 27a3 + 8b3) = 0 (27a3 + 8b3) = 0 Solving 27a3 + 8b3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8b3' to each side of the equation. 27a3 + 8b3 + -8b3 = 0 + -8b3 Combine like terms: 8b3 + -8b3 = 0 27a3 + 0 = 0 + -8b3 27a3 = 0 + -8b3 Remove the zero: 27a3 = -8b3 Divide each side by '27'. a3 = -0.2962962963b3 Simplifying a3 = -0.2962962963b3 Combine like terms: -0.2962962963b3 + 0.2962962963b3 = 0.0000000000 a3 + 0.2962962963b3 = 0.0000000000 The solution to this equation could not be determined.
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