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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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