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Simplifying (2d + -2)(9d + 9) = 0 Reorder the terms: (-2 + 2d)(9d + 9) = 0 Reorder the terms: (-2 + 2d)(9 + 9d) = 0 Multiply (-2 + 2d) * (9 + 9d) (-2(9 + 9d) + 2d * (9 + 9d)) = 0 ((9 * -2 + 9d * -2) + 2d * (9 + 9d)) = 0 ((-18 + -18d) + 2d * (9 + 9d)) = 0 (-18 + -18d + (9 * 2d + 9d * 2d)) = 0 (-18 + -18d + (18d + 18d2)) = 0 Combine like terms: -18d + 18d = 0 (-18 + 0 + 18d2) = 0 (-18 + 18d2) = 0 Solving -18 + 18d2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 18d2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 18d2 = 0 + 18 18d2 = 0 + 18 Combine like terms: 0 + 18 = 18 18d2 = 18 Divide each side by '18'. d2 = 1 Simplifying d2 = 1 Take the square root of each side: d = {-1, 1}
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