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Simplifying (b + 4)(b + -4) = 0 Reorder the terms: (4 + b)(b + -4) = 0 Reorder the terms: (4 + b)(-4 + b) = 0 Multiply (4 + b) * (-4 + b) (4(-4 + b) + b(-4 + b)) = 0 ((-4 * 4 + b * 4) + b(-4 + b)) = 0 ((-16 + 4b) + b(-4 + b)) = 0 (-16 + 4b + (-4 * b + b * b)) = 0 (-16 + 4b + (-4b + b2)) = 0 Combine like terms: 4b + -4b = 0 (-16 + 0 + b2) = 0 (-16 + b2) = 0 Solving -16 + b2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + b2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + b2 = 0 + 16 b2 = 0 + 16 Combine like terms: 0 + 16 = 16 b2 = 16 Simplifying b2 = 16 Take the square root of each side: b = {-4, 4}
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