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Simplifying (3a2 + 7b)(3a2 + -7b) = 0 Multiply (3a2 + 7b) * (3a2 + -7b) (3a2 * (3a2 + -7b) + 7b * (3a2 + -7b)) = 0 ((3a2 * 3a2 + -7b * 3a2) + 7b * (3a2 + -7b)) = 0 Reorder the terms: ((-21a2b + 9a4) + 7b * (3a2 + -7b)) = 0 ((-21a2b + 9a4) + 7b * (3a2 + -7b)) = 0 (-21a2b + 9a4 + (3a2 * 7b + -7b * 7b)) = 0 (-21a2b + 9a4 + (21a2b + -49b2)) = 0 Reorder the terms: (-21a2b + 21a2b + 9a4 + -49b2) = 0 Combine like terms: -21a2b + 21a2b = 0 (0 + 9a4 + -49b2) = 0 (9a4 + -49b2) = 0 Solving 9a4 + -49b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '49b2' to each side of the equation. 9a4 + -49b2 + 49b2 = 0 + 49b2 Combine like terms: -49b2 + 49b2 = 0 9a4 + 0 = 0 + 49b2 9a4 = 0 + 49b2 Remove the zero: 9a4 = 49b2 Divide each side by '9'. a4 = 5.444444444b2 Simplifying a4 = 5.444444444b2 Combine like terms: 5.444444444b2 + -5.444444444b2 = 0.000000000 a4 + -5.444444444b2 = 0.000000000 The solution to this equation could not be determined.
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