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Simplifying (2b + 6)(2b + -6) = 0 Reorder the terms: (6 + 2b)(2b + -6) = 0 Reorder the terms: (6 + 2b)(-6 + 2b) = 0 Multiply (6 + 2b) * (-6 + 2b) (6(-6 + 2b) + 2b * (-6 + 2b)) = 0 ((-6 * 6 + 2b * 6) + 2b * (-6 + 2b)) = 0 ((-36 + 12b) + 2b * (-6 + 2b)) = 0 (-36 + 12b + (-6 * 2b + 2b * 2b)) = 0 (-36 + 12b + (-12b + 4b2)) = 0 Combine like terms: 12b + -12b = 0 (-36 + 0 + 4b2) = 0 (-36 + 4b2) = 0 Solving -36 + 4b2 = 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 + 4b2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 4b2 = 0 + 36 4b2 = 0 + 36 Combine like terms: 0 + 36 = 36 4b2 = 36 Divide each side by '4'. b2 = 9 Simplifying b2 = 9 Take the square root of each side: b = {-3, 3}
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