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Simplifying (7a2 + 2b2)(7a2 + -2b2) = 0 Multiply (7a2 + 2b2) * (7a2 + -2b2) (7a2 * (7a2 + -2b2) + 2b2 * (7a2 + -2b2)) = 0 ((7a2 * 7a2 + -2b2 * 7a2) + 2b2 * (7a2 + -2b2)) = 0 Reorder the terms: ((-14a2b2 + 49a4) + 2b2 * (7a2 + -2b2)) = 0 ((-14a2b2 + 49a4) + 2b2 * (7a2 + -2b2)) = 0 (-14a2b2 + 49a4 + (7a2 * 2b2 + -2b2 * 2b2)) = 0 (-14a2b2 + 49a4 + (14a2b2 + -4b4)) = 0 Reorder the terms: (-14a2b2 + 14a2b2 + 49a4 + -4b4) = 0 Combine like terms: -14a2b2 + 14a2b2 = 0 (0 + 49a4 + -4b4) = 0 (49a4 + -4b4) = 0 Solving 49a4 + -4b4 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4b4' to each side of the equation. 49a4 + -4b4 + 4b4 = 0 + 4b4 Combine like terms: -4b4 + 4b4 = 0 49a4 + 0 = 0 + 4b4 49a4 = 0 + 4b4 Remove the zero: 49a4 = 4b4 Divide each side by '49'. a4 = 0.08163265306b4 Simplifying a4 = 0.08163265306b4 Combine like terms: 0.08163265306b4 + -0.08163265306b4 = 0.00000000000 a4 + -0.08163265306b4 = 0.00000000000 The solution to this equation could not be determined.
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