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Simplifying (3a + b)(3a + -1b)(9a2 + b2) = 0 Multiply (3a + b) * (3a + -1b) (3a * (3a + -1b) + b(3a + -1b))(9a2 + b2) = 0 ((3a * 3a + -1b * 3a) + b(3a + -1b))(9a2 + b2) = 0 Reorder the terms: ((-3ab + 9a2) + b(3a + -1b))(9a2 + b2) = 0 ((-3ab + 9a2) + b(3a + -1b))(9a2 + b2) = 0 (-3ab + 9a2 + (3a * b + -1b * b))(9a2 + b2) = 0 (-3ab + 9a2 + (3ab + -1b2))(9a2 + b2) = 0 Reorder the terms: (-3ab + 3ab + 9a2 + -1b2)(9a2 + b2) = 0 Combine like terms: -3ab + 3ab = 0 (0 + 9a2 + -1b2)(9a2 + b2) = 0 (9a2 + -1b2)(9a2 + b2) = 0 Multiply (9a2 + -1b2) * (9a2 + b2) (9a2 * (9a2 + b2) + -1b2 * (9a2 + b2)) = 0 ((9a2 * 9a2 + b2 * 9a2) + -1b2 * (9a2 + b2)) = 0 Reorder the terms: ((9a2b2 + 81a4) + -1b2 * (9a2 + b2)) = 0 ((9a2b2 + 81a4) + -1b2 * (9a2 + b2)) = 0 (9a2b2 + 81a4 + (9a2 * -1b2 + b2 * -1b2)) = 0 (9a2b2 + 81a4 + (-9a2b2 + -1b4)) = 0 Reorder the terms: (9a2b2 + -9a2b2 + 81a4 + -1b4) = 0 Combine like terms: 9a2b2 + -9a2b2 = 0 (0 + 81a4 + -1b4) = 0 (81a4 + -1b4) = 0 Solving 81a4 + -1b4 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b4' to each side of the equation. 81a4 + -1b4 + b4 = 0 + b4 Combine like terms: -1b4 + b4 = 0 81a4 + 0 = 0 + b4 81a4 = 0 + b4 Remove the zero: 81a4 = b4 Divide each side by '81'. a4 = 0.01234567901b4 Simplifying a4 = 0.01234567901b4 Combine like terms: 0.01234567901b4 + -0.01234567901b4 = 0.00000000000 a4 + -0.01234567901b4 = 0.00000000000 The solution to this equation could not be determined.
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