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Simplifying (d + -1b)(d + b) = 0 Reorder the terms: (-1b + d)(d + b) = 0 Reorder the terms: (-1b + d)(b + d) = 0 Multiply (-1b + d) * (b + d) (-1b * (b + d) + d(b + d)) = 0 ((b * -1b + d * -1b) + d(b + d)) = 0 Reorder the terms: ((-1bd + -1b2) + d(b + d)) = 0 ((-1bd + -1b2) + d(b + d)) = 0 (-1bd + -1b2 + (b * d + d * d)) = 0 (-1bd + -1b2 + (bd + d2)) = 0 Reorder the terms: (-1bd + bd + -1b2 + d2) = 0 Combine like terms: -1bd + bd = 0 (0 + -1b2 + d2) = 0 (-1b2 + d2) = 0 Solving -1b2 + d2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1d2' to each side of the equation. -1b2 + d2 + -1d2 = 0 + -1d2 Combine like terms: d2 + -1d2 = 0 -1b2 + 0 = 0 + -1d2 -1b2 = 0 + -1d2 Remove the zero: -1b2 = -1d2 Divide each side by '-1'. b2 = d2 Simplifying b2 = d2 Take the square root of each side: b = {-1d, d}
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