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Simplifying (5b + 6)(5b + -6) = 0 Reorder the terms: (6 + 5b)(5b + -6) = 0 Reorder the terms: (6 + 5b)(-6 + 5b) = 0 Multiply (6 + 5b) * (-6 + 5b) (6(-6 + 5b) + 5b * (-6 + 5b)) = 0 ((-6 * 6 + 5b * 6) + 5b * (-6 + 5b)) = 0 ((-36 + 30b) + 5b * (-6 + 5b)) = 0 (-36 + 30b + (-6 * 5b + 5b * 5b)) = 0 (-36 + 30b + (-30b + 25b2)) = 0 Combine like terms: 30b + -30b = 0 (-36 + 0 + 25b2) = 0 (-36 + 25b2) = 0 Solving -36 + 25b2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 25b2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 25b2 = 0 + 36 25b2 = 0 + 36 Combine like terms: 0 + 36 = 36 25b2 = 36 Divide each side by '25'. b2 = 1.44 Simplifying b2 = 1.44 Take the square root of each side: b = {-1.2, 1.2}
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