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Simplifying (7m + 3b)(7m + -3b) = 0 Reorder the terms: (3b + 7m)(7m + -3b) = 0 Reorder the terms: (3b + 7m)(-3b + 7m) = 0 Multiply (3b + 7m) * (-3b + 7m) (3b * (-3b + 7m) + 7m * (-3b + 7m)) = 0 ((-3b * 3b + 7m * 3b) + 7m * (-3b + 7m)) = 0 Reorder the terms: ((21bm + -9b2) + 7m * (-3b + 7m)) = 0 ((21bm + -9b2) + 7m * (-3b + 7m)) = 0 (21bm + -9b2 + (-3b * 7m + 7m * 7m)) = 0 (21bm + -9b2 + (-21bm + 49m2)) = 0 Reorder the terms: (21bm + -21bm + -9b2 + 49m2) = 0 Combine like terms: 21bm + -21bm = 0 (0 + -9b2 + 49m2) = 0 (-9b2 + 49m2) = 0 Solving -9b2 + 49m2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-49m2' to each side of the equation. -9b2 + 49m2 + -49m2 = 0 + -49m2 Combine like terms: 49m2 + -49m2 = 0 -9b2 + 0 = 0 + -49m2 -9b2 = 0 + -49m2 Remove the zero: -9b2 = -49m2 Divide each side by '-9'. b2 = 5.444444444m2 Simplifying b2 = 5.444444444m2 Take the square root of each side: b = {-2.333333333m, 2.333333333m}
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