x^2-4x+1=1

Solution for x^2-4x+1=1 equation:

Simplifying
x2 + -4x + 1 = 1

Reorder the terms:
1 + -4x + x2 = 1

Add '-1' to each side of the equation.
1 + -4x + -1 + x2 = 1 + -1

Reorder the terms:
1 + -1 + -4x + x2 = 1 + -1

Combine like terms: 1 + -1 = 0
0 + -4x + x2 = 1 + -1
-4x + x2 = 1 + -1

Combine like terms: 1 + -1 = 0
-4x + x2 = 0

Solving
-4x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + x) = 0

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 0

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

Add '4' to each side of the equation.
-4 + 4 + x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + x = 0 + 4
x = 0 + 4

Combine like terms: 0 + 4 = 4
x = 4

Simplifying
x = 4
Solution
x = {0, 4}