(d^2-2d+1)y=0

Solution for (d^2-2d+1)y=0 equation:

Simplifying
(d2 + -2d + 1) * y = 0

Reorder the terms:
(1 + -2d + d2) * y = 0

Reorder the terms for easier multiplication:
y(1 + -2d + d2) = 0
(1 * y + -2d * y + d2 * y) = 0

Reorder the terms:
(-2dy + d2y + 1y) = 0
(-2dy + d2y + 1y) = 0

Solving
-2dy + d2y + 1y = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-2d + d2 + 1) = 0

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

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Add '-1y' to each side of the equation.
y + -1y = 0 + -1y
Remove the zero:
0 = -1y

Simplifying
0 = -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(d + -1)' equal to zero and attempt to solve:

Simplifying
d + -1 = 0

Reorder the terms:
-1 + d = 0

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

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

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

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

Simplifying
d + -1 = 0

Reorder the terms:
-1 + d = 0

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

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

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

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