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Simplifying (4a2 + -3b2)(16a4 + 12a2b2 + 9b4) = 0 Reorder the terms: (4a2 + -3b2)(12a2b2 + 16a4 + 9b4) = 0 Multiply (4a2 + -3b2) * (12a2b2 + 16a4 + 9b4) (4a2 * (12a2b2 + 16a4 + 9b4) + -3b2 * (12a2b2 + 16a4 + 9b4)) = 0 ((12a2b2 * 4a2 + 16a4 * 4a2 + 9b4 * 4a2) + -3b2 * (12a2b2 + 16a4 + 9b4)) = 0 Reorder the terms: ((36a2b4 + 48a4b2 + 64a6) + -3b2 * (12a2b2 + 16a4 + 9b4)) = 0 ((36a2b4 + 48a4b2 + 64a6) + -3b2 * (12a2b2 + 16a4 + 9b4)) = 0 (36a2b4 + 48a4b2 + 64a6 + (12a2b2 * -3b2 + 16a4 * -3b2 + 9b4 * -3b2)) = 0 (36a2b4 + 48a4b2 + 64a6 + (-36a2b4 + -48a4b2 + -27b6)) = 0 Reorder the terms: (36a2b4 + -36a2b4 + 48a4b2 + -48a4b2 + 64a6 + -27b6) = 0 Combine like terms: 36a2b4 + -36a2b4 = 0 (0 + 48a4b2 + -48a4b2 + 64a6 + -27b6) = 0 (48a4b2 + -48a4b2 + 64a6 + -27b6) = 0 Combine like terms: 48a4b2 + -48a4b2 = 0 (0 + 64a6 + -27b6) = 0 (64a6 + -27b6) = 0 Solving 64a6 + -27b6 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '27b6' to each side of the equation. 64a6 + -27b6 + 27b6 = 0 + 27b6 Combine like terms: -27b6 + 27b6 = 0 64a6 + 0 = 0 + 27b6 64a6 = 0 + 27b6 Remove the zero: 64a6 = 27b6 Divide each side by '64'. a6 = 0.421875b6 Simplifying a6 = 0.421875b6 Combine like terms: 0.421875b6 + -0.421875b6 = 0.000000 a6 + -0.421875b6 = 0.000000 The solution to this equation could not be determined.
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