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Simplifying (3b + 4)(3b + -4) = 0 Reorder the terms: (4 + 3b)(3b + -4) = 0 Reorder the terms: (4 + 3b)(-4 + 3b) = 0 Multiply (4 + 3b) * (-4 + 3b) (4(-4 + 3b) + 3b * (-4 + 3b)) = 0 ((-4 * 4 + 3b * 4) + 3b * (-4 + 3b)) = 0 ((-16 + 12b) + 3b * (-4 + 3b)) = 0 (-16 + 12b + (-4 * 3b + 3b * 3b)) = 0 (-16 + 12b + (-12b + 9b2)) = 0 Combine like terms: 12b + -12b = 0 (-16 + 0 + 9b2) = 0 (-16 + 9b2) = 0 Solving -16 + 9b2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 9b2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 9b2 = 0 + 16 9b2 = 0 + 16 Combine like terms: 0 + 16 = 16 9b2 = 16 Divide each side by '9'. b2 = 1.777777778 Simplifying b2 = 1.777777778 Take the square root of each side: b = {-1.333333333, 1.333333333}
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