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Simplifying (2b + -9)(2b + 9) = 0 Reorder the terms: (-9 + 2b)(2b + 9) = 0 Reorder the terms: (-9 + 2b)(9 + 2b) = 0 Multiply (-9 + 2b) * (9 + 2b) (-9(9 + 2b) + 2b * (9 + 2b)) = 0 ((9 * -9 + 2b * -9) + 2b * (9 + 2b)) = 0 ((-81 + -18b) + 2b * (9 + 2b)) = 0 (-81 + -18b + (9 * 2b + 2b * 2b)) = 0 (-81 + -18b + (18b + 4b2)) = 0 Combine like terms: -18b + 18b = 0 (-81 + 0 + 4b2) = 0 (-81 + 4b2) = 0 Solving -81 + 4b2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + 4b2 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + 4b2 = 0 + 81 4b2 = 0 + 81 Combine like terms: 0 + 81 = 81 4b2 = 81 Divide each side by '4'. b2 = 20.25 Simplifying b2 = 20.25 Take the square root of each side: b = {-4.5, 4.5}
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