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Simplifying (9b + 8)(9b + -8) = 0 Reorder the terms: (8 + 9b)(9b + -8) = 0 Reorder the terms: (8 + 9b)(-8 + 9b) = 0 Multiply (8 + 9b) * (-8 + 9b) (8(-8 + 9b) + 9b * (-8 + 9b)) = 0 ((-8 * 8 + 9b * 8) + 9b * (-8 + 9b)) = 0 ((-64 + 72b) + 9b * (-8 + 9b)) = 0 (-64 + 72b + (-8 * 9b + 9b * 9b)) = 0 (-64 + 72b + (-72b + 81b2)) = 0 Combine like terms: 72b + -72b = 0 (-64 + 0 + 81b2) = 0 (-64 + 81b2) = 0 Solving -64 + 81b2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 81b2 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 81b2 = 0 + 64 81b2 = 0 + 64 Combine like terms: 0 + 64 = 64 81b2 = 64 Divide each side by '81'. b2 = 0.7901234568 Simplifying b2 = 0.7901234568 Take the square root of each side: b = {-0.888888889, 0.888888889}
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