9d^2-6d+1=0

Solution for 9d^2-6d+1=0 equation:

Simplifying
9d2 + -6d + 1 = 0

Reorder the terms:
1 + -6d + 9d2 = 0

Solving
1 + -6d + 9d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(1 + -3d)(1 + -3d) = 0

Subproblem 1
Set the factor '(1 + -3d)' equal to zero and attempt to solve:

Simplifying
1 + -3d = 0

Solving
1 + -3d = 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 + -3d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3d = 0 + -1
-3d = 0 + -1

Combine like terms: 0 + -1 = -1
-3d = -1

Divide each side by '-3'.
d = 0.3333333333

Simplifying
d = 0.3333333333
Subproblem 2
Set the factor '(1 + -3d)' equal to zero and attempt to solve:

Simplifying
1 + -3d = 0

Solving
1 + -3d = 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 + -3d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3d = 0 + -1
-3d = 0 + -1

Combine like terms: 0 + -1 = -1
-3d = -1

Divide each side by '-3'.
d = 0.3333333333

Simplifying
d = 0.3333333333
Solution
d = {0.3333333333, 0.3333333333}