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Simplifying (3b + 5)(3b + -5) = 0 Reorder the terms: (5 + 3b)(3b + -5) = 0 Reorder the terms: (5 + 3b)(-5 + 3b) = 0 Multiply (5 + 3b) * (-5 + 3b) (5(-5 + 3b) + 3b * (-5 + 3b)) = 0 ((-5 * 5 + 3b * 5) + 3b * (-5 + 3b)) = 0 ((-25 + 15b) + 3b * (-5 + 3b)) = 0 (-25 + 15b + (-5 * 3b + 3b * 3b)) = 0 (-25 + 15b + (-15b + 9b2)) = 0 Combine like terms: 15b + -15b = 0 (-25 + 0 + 9b2) = 0 (-25 + 9b2) = 0 Solving -25 + 9b2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 9b2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 9b2 = 0 + 25 9b2 = 0 + 25 Combine like terms: 0 + 25 = 25 9b2 = 25 Divide each side by '9'. b2 = 2.777777778 Simplifying b2 = 2.777777778 Take the square root of each side: b = {-1.666666667, 1.666666667}
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