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Simplifying (3 + -2b)(3 + 2b) = 0 Multiply (3 + -2b) * (3 + 2b) (3(3 + 2b) + -2b * (3 + 2b)) = 0 ((3 * 3 + 2b * 3) + -2b * (3 + 2b)) = 0 ((9 + 6b) + -2b * (3 + 2b)) = 0 (9 + 6b + (3 * -2b + 2b * -2b)) = 0 (9 + 6b + (-6b + -4b2)) = 0 Combine like terms: 6b + -6b = 0 (9 + 0 + -4b2) = 0 (9 + -4b2) = 0 Solving 9 + -4b2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4b2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4b2 = 0 + -9 -4b2 = 0 + -9 Combine like terms: 0 + -9 = -9 -4b2 = -9 Divide each side by '-4'. b2 = 2.25 Simplifying b2 = 2.25 Take the square root of each side: b = {-1.5, 1.5}
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