25d^2-10d+1=0

Solution for 25d^2-10d+1=0 equation:

Simplifying
25d2 + -10d + 1 = 0

Reorder the terms:
1 + -10d + 25d2 = 0

Solving
1 + -10d + 25d2 = 0

Solving for variable 'd'.

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

Subproblem 1
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
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 = {0.2, 0.2}