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Simplifying (3a + 7b)(9a2 + -21ab + 49b2) = 0 Reorder the terms: (3a + 7b)(-21ab + 9a2 + 49b2) = 0 Multiply (3a + 7b) * (-21ab + 9a2 + 49b2) (3a * (-21ab + 9a2 + 49b2) + 7b * (-21ab + 9a2 + 49b2)) = 0 ((-21ab * 3a + 9a2 * 3a + 49b2 * 3a) + 7b * (-21ab + 9a2 + 49b2)) = 0 Reorder the terms: ((147ab2 + -63a2b + 27a3) + 7b * (-21ab + 9a2 + 49b2)) = 0 ((147ab2 + -63a2b + 27a3) + 7b * (-21ab + 9a2 + 49b2)) = 0 (147ab2 + -63a2b + 27a3 + (-21ab * 7b + 9a2 * 7b + 49b2 * 7b)) = 0 (147ab2 + -63a2b + 27a3 + (-147ab2 + 63a2b + 343b3)) = 0 Reorder the terms: (147ab2 + -147ab2 + -63a2b + 63a2b + 27a3 + 343b3) = 0 Combine like terms: 147ab2 + -147ab2 = 0 (0 + -63a2b + 63a2b + 27a3 + 343b3) = 0 (-63a2b + 63a2b + 27a3 + 343b3) = 0 Combine like terms: -63a2b + 63a2b = 0 (0 + 27a3 + 343b3) = 0 (27a3 + 343b3) = 0 Solving 27a3 + 343b3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-343b3' to each side of the equation. 27a3 + 343b3 + -343b3 = 0 + -343b3 Combine like terms: 343b3 + -343b3 = 0 27a3 + 0 = 0 + -343b3 27a3 = 0 + -343b3 Remove the zero: 27a3 = -343b3 Divide each side by '27'. a3 = -12.7037037b3 Simplifying a3 = -12.7037037b3 Combine like terms: -12.7037037b3 + 12.7037037b3 = 0.0000000 a3 + 12.7037037b3 = 0.0000000 The solution to this equation could not be determined.
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