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Simplifying (8b + -9)(8b + 9) = 0 Reorder the terms: (-9 + 8b)(8b + 9) = 0 Reorder the terms: (-9 + 8b)(9 + 8b) = 0 Multiply (-9 + 8b) * (9 + 8b) (-9(9 + 8b) + 8b * (9 + 8b)) = 0 ((9 * -9 + 8b * -9) + 8b * (9 + 8b)) = 0 ((-81 + -72b) + 8b * (9 + 8b)) = 0 (-81 + -72b + (9 * 8b + 8b * 8b)) = 0 (-81 + -72b + (72b + 64b2)) = 0 Combine like terms: -72b + 72b = 0 (-81 + 0 + 64b2) = 0 (-81 + 64b2) = 0 Solving -81 + 64b2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + 64b2 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + 64b2 = 0 + 81 64b2 = 0 + 81 Combine like terms: 0 + 81 = 81 64b2 = 81 Divide each side by '64'. b2 = 1.265625 Simplifying b2 = 1.265625 Take the square root of each side: b = {-1.125, 1.125}
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