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Simplifying (b + 1)(b + -1) = 35 Reorder the terms: (1 + b)(b + -1) = 35 Reorder the terms: (1 + b)(-1 + b) = 35 Multiply (1 + b) * (-1 + b) (1(-1 + b) + b(-1 + b)) = 35 ((-1 * 1 + b * 1) + b(-1 + b)) = 35 ((-1 + 1b) + b(-1 + b)) = 35 (-1 + 1b + (-1 * b + b * b)) = 35 (-1 + 1b + (-1b + b2)) = 35 Combine like terms: 1b + -1b = 0 (-1 + 0 + b2) = 35 (-1 + b2) = 35 Solving -1 + b2 = 35 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + b2 = 35 + 1 Combine like terms: -1 + 1 = 0 0 + b2 = 35 + 1 b2 = 35 + 1 Combine like terms: 35 + 1 = 36 b2 = 36 Simplifying b2 = 36 Take the square root of each side: b = {-6, 6}
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