30d^2-11d+1=0

Solution for 30d^2-11d+1=0 equation:

Simplifying
30d2 + -11d + 1 = 0

Reorder the terms:
1 + -11d + 30d2 = 0

Solving
1 + -11d + 30d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(1 + -6d)(1 + -5d) = 0

Subproblem 1
Set the factor '(1 + -6d)' equal to zero and attempt to solve:

Simplifying
1 + -6d = 0

Solving
1 + -6d = 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 + -6d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6d = 0 + -1
-6d = 0 + -1

Combine like terms: 0 + -1 = -1
-6d = -1

Divide each side by '-6'.
d = 0.1666666667

Simplifying
d = 0.1666666667
Subproblem 2
Set the factor '(1 + -5d)' equal to zero and attempt to solve:

Simplifying
1 + -5d = 0

Solving
1 + -5d = 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 + -5d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5d = 0 + -1
-5d = 0 + -1

Combine like terms: 0 + -1 = -1
-5d = -1

Divide each side by '-5'.
d = 0.2

Simplifying
d = 0.2
Solution
d = {0.1666666667, 0.2}