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Simplifying (9xy + 5)(9xy + -5) = 0 Reorder the terms: (5 + 9xy)(9xy + -5) = 0 Reorder the terms: (5 + 9xy)(-5 + 9xy) = 0 Multiply (5 + 9xy) * (-5 + 9xy) (5(-5 + 9xy) + 9xy * (-5 + 9xy)) = 0 ((-5 * 5 + 9xy * 5) + 9xy * (-5 + 9xy)) = 0 ((-25 + 45xy) + 9xy * (-5 + 9xy)) = 0 (-25 + 45xy + (-5 * 9xy + 9xy * 9xy)) = 0 (-25 + 45xy + (-45xy + 81x2y2)) = 0 Combine like terms: 45xy + -45xy = 0 (-25 + 0 + 81x2y2) = 0 (-25 + 81x2y2) = 0 Solving -25 + 81x2y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 81x2y2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 81x2y2 = 0 + 25 81x2y2 = 0 + 25 Combine like terms: 0 + 25 = 25 81x2y2 = 25 Divide each side by '81y2'. x2 = 0.3086419753y-2 Simplifying x2 = 0.3086419753y-2 Take the square root of each side: x = {-0.555555556y-1, 0.555555556y-1}
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