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Simplifying
(9d + 11)(9d + -11) = 0
Reorder the terms:
(11 + 9d)(9d + -11) = 0
Reorder the terms:
(11 + 9d)(-11 + 9d) = 0
Multiply (11 + 9d) * (-11 + 9d)
(11(-11 + 9d) + 9d * (-11 + 9d)) = 0
((-11 * 11 + 9d * 11) + 9d * (-11 + 9d)) = 0
((-121 + 99d) + 9d * (-11 + 9d)) = 0
(-121 + 99d + (-11 * 9d + 9d * 9d)) = 0
(-121 + 99d + (-99d + 81d2)) = 0
Combine like terms: 99d + -99d = 0
(-121 + 0 + 81d2) = 0
(-121 + 81d2) = 0
Solving
-121 + 81d2 = 0
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Add '121' to each side of the equation.
-121 + 121 + 81d2 = 0 + 121
Combine like terms: -121 + 121 = 0
0 + 81d2 = 0 + 121
81d2 = 0 + 121
Combine like terms: 0 + 121 = 121
81d2 = 121
Divide each side by '81'.
d2 = 1.49382716
Simplifying
d2 = 1.49382716
Take the square root of each side:
d = {-1.222222222, 1.222222222}
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