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Simplifying (8 + -16d)(8 + 16d) = 0 Multiply (8 + -16d) * (8 + 16d) (8(8 + 16d) + -16d * (8 + 16d)) = 0 ((8 * 8 + 16d * 8) + -16d * (8 + 16d)) = 0 ((64 + 128d) + -16d * (8 + 16d)) = 0 (64 + 128d + (8 * -16d + 16d * -16d)) = 0 (64 + 128d + (-128d + -256d2)) = 0 Combine like terms: 128d + -128d = 0 (64 + 0 + -256d2) = 0 (64 + -256d2) = 0 Solving 64 + -256d2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + -256d2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -256d2 = 0 + -64 -256d2 = 0 + -64 Combine like terms: 0 + -64 = -64 -256d2 = -64 Divide each side by '-256'. d2 = 0.25 Simplifying d2 = 0.25 Take the square root of each side: d = {-0.5, 0.5}
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