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Simplifying (3b + 6)(3b + -6) = 0 Reorder the terms: (6 + 3b)(3b + -6) = 0 Reorder the terms: (6 + 3b)(-6 + 3b) = 0 Multiply (6 + 3b) * (-6 + 3b) (6(-6 + 3b) + 3b * (-6 + 3b)) = 0 ((-6 * 6 + 3b * 6) + 3b * (-6 + 3b)) = 0 ((-36 + 18b) + 3b * (-6 + 3b)) = 0 (-36 + 18b + (-6 * 3b + 3b * 3b)) = 0 (-36 + 18b + (-18b + 9b2)) = 0 Combine like terms: 18b + -18b = 0 (-36 + 0 + 9b2) = 0 (-36 + 9b2) = 0 Solving -36 + 9b2 = 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 + 9b2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 9b2 = 0 + 36 9b2 = 0 + 36 Combine like terms: 0 + 36 = 36 9b2 = 36 Divide each side by '9'. b2 = 4 Simplifying b2 = 4 Take the square root of each side: b = {-2, 2}
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