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Simplifying (3b + 2)(3b + -2) = 0 Reorder the terms: (2 + 3b)(3b + -2) = 0 Reorder the terms: (2 + 3b)(-2 + 3b) = 0 Multiply (2 + 3b) * (-2 + 3b) (2(-2 + 3b) + 3b * (-2 + 3b)) = 0 ((-2 * 2 + 3b * 2) + 3b * (-2 + 3b)) = 0 ((-4 + 6b) + 3b * (-2 + 3b)) = 0 (-4 + 6b + (-2 * 3b + 3b * 3b)) = 0 (-4 + 6b + (-6b + 9b2)) = 0 Combine like terms: 6b + -6b = 0 (-4 + 0 + 9b2) = 0 (-4 + 9b2) = 0 Solving -4 + 9b2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 9b2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 9b2 = 0 + 4 9b2 = 0 + 4 Combine like terms: 0 + 4 = 4 9b2 = 4 Divide each side by '9'. b2 = 0.4444444444 Simplifying b2 = 0.4444444444 Take the square root of each side: b = {-0.666666667, 0.666666667}
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