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Simplifying (b + -9)(b + 9) = 0 Reorder the terms: (-9 + b)(b + 9) = 0 Reorder the terms: (-9 + b)(9 + b) = 0 Multiply (-9 + b) * (9 + b) (-9(9 + b) + b(9 + b)) = 0 ((9 * -9 + b * -9) + b(9 + b)) = 0 ((-81 + -9b) + b(9 + b)) = 0 (-81 + -9b + (9 * b + b * b)) = 0 (-81 + -9b + (9b + b2)) = 0 Combine like terms: -9b + 9b = 0 (-81 + 0 + b2) = 0 (-81 + b2) = 0 Solving -81 + b2 = 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 + b2 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + b2 = 0 + 81 b2 = 0 + 81 Combine like terms: 0 + 81 = 81 b2 = 81 Simplifying b2 = 81 Take the square root of each side: b = {-9, 9}
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