D^2-2D+1=0

Solution for D^2-2D+1=0 equation:

Simplifying
D2 + -2D + 1 = 0

Reorder the terms:
1 + -2D + D2 = 0

Solving
1 + -2D + D2 = 0

Solving for variable 'D'.

Factor a trinomial.
(1 + -1D)(1 + -1D) = 0

Subproblem 1
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
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 = {1, 1}