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Simplifying (8 + 7d)(8 + -7d) = 0 Multiply (8 + 7d) * (8 + -7d) (8(8 + -7d) + 7d * (8 + -7d)) = 0 ((8 * 8 + -7d * 8) + 7d * (8 + -7d)) = 0 ((64 + -56d) + 7d * (8 + -7d)) = 0 (64 + -56d + (8 * 7d + -7d * 7d)) = 0 (64 + -56d + (56d + -49d2)) = 0 Combine like terms: -56d + 56d = 0 (64 + 0 + -49d2) = 0 (64 + -49d2) = 0 Solving 64 + -49d2 = 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 + -49d2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -49d2 = 0 + -64 -49d2 = 0 + -64 Combine like terms: 0 + -64 = -64 -49d2 = -64 Divide each side by '-49'. d2 = 1.306122449 Simplifying d2 = 1.306122449 Take the square root of each side: d = {-1.142857143, 1.142857143}
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