d(8d-9)=-1

Solution for d(8d-9)=-1 equation:

Simplifying
d(8d + -9) = -1

Reorder the terms:
d(-9 + 8d) = -1
(-9 * d + 8d * d) = -1
(-9d + 8d2) = -1

Solving
-9d + 8d2 = -1

Solving for variable 'd'.

Reorder the terms:
1 + -9d + 8d2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + -9d + 8d2 = 0

Factor a trinomial.
(1 + -8d)(1 + -1d) = 0

Subproblem 1
Set the factor '(1 + -8d)' equal to zero and attempt to solve:

Simplifying
1 + -8d = 0

Solving
1 + -8d = 0

Move all terms containing d to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -8d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8d = 0 + -1
-8d = 0 + -1

Combine like terms: 0 + -1 = -1
-8d = -1

Divide each side by '-8'.
d = 0.125

Simplifying
d = 0.125
Subproblem 2
Set the factor '(1 + -1d)' equal to zero and attempt to solve:

Simplifying
1 + -1d = 0

Solving
1 + -1d = 0

Move all terms containing d to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1d = 0 + -1
-1d = 0 + -1

Combine like terms: 0 + -1 = -1
-1d = -1

Divide each side by '-1'.
d = 1

Simplifying
d = 1
Solution
d = {0.125, 1}