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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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