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Simplifying (3l + 9)(3l + -9) = 0 Reorder the terms: (9 + 3l)(3l + -9) = 0 Reorder the terms: (9 + 3l)(-9 + 3l) = 0 Multiply (9 + 3l) * (-9 + 3l) (9(-9 + 3l) + 3l * (-9 + 3l)) = 0 ((-9 * 9 + 3l * 9) + 3l * (-9 + 3l)) = 0 ((-81 + 27l) + 3l * (-9 + 3l)) = 0 (-81 + 27l + (-9 * 3l + 3l * 3l)) = 0 (-81 + 27l + (-27l + 9l2)) = 0 Combine like terms: 27l + -27l = 0 (-81 + 0 + 9l2) = 0 (-81 + 9l2) = 0 Solving -81 + 9l2 = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + 9l2 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + 9l2 = 0 + 81 9l2 = 0 + 81 Combine like terms: 0 + 81 = 81 9l2 = 81 Divide each side by '9'. l2 = 9 Simplifying l2 = 9 Take the square root of each side: l = {-3, 3}
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