0=121x^2-22x+1

Solution for 0=121x^2-22x+1 equation:

Simplifying
0 = 121x2 + -22x + 1

Reorder the terms:
0 = 1 + -22x + 121x2

Solving
0 = 1 + -22x + 121x2

Solving for variable 'x'.

Combine like terms: 0 + -1 = -1
-1 + 22x + -121x2 = 1 + -22x + 121x2 + -1 + 22x + -121x2

Reorder the terms:
-1 + 22x + -121x2 = 1 + -1 + -22x + 22x + 121x2 + -121x2

Combine like terms: 1 + -1 = 0
-1 + 22x + -121x2 = 0 + -22x + 22x + 121x2 + -121x2
-1 + 22x + -121x2 = -22x + 22x + 121x2 + -121x2

Combine like terms: -22x + 22x = 0
-1 + 22x + -121x2 = 0 + 121x2 + -121x2
-1 + 22x + -121x2 = 121x2 + -121x2

Combine like terms: 121x2 + -121x2 = 0
-1 + 22x + -121x2 = 0

Factor a trinomial.
(-1 + 11x)(1 + -11x) = 0

Subproblem 1
Set the factor '(-1 + 11x)' equal to zero and attempt to solve:

Simplifying
-1 + 11x = 0

Solving
-1 + 11x = 0

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

Add '1' to each side of the equation.
-1 + 1 + 11x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 11x = 0 + 1
11x = 0 + 1

Combine like terms: 0 + 1 = 1
11x = 1

Divide each side by '11'.
x = 0.09090909091

Simplifying
x = 0.09090909091
Subproblem 2
Set the factor '(1 + -11x)' equal to zero and attempt to solve:

Simplifying
1 + -11x = 0

Solving
1 + -11x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -11x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -11x = 0 + -1
-11x = 0 + -1

Combine like terms: 0 + -1 = -1
-11x = -1

Divide each side by '-11'.
x = 0.09090909091

Simplifying
x = 0.09090909091
Solution
x = {0.09090909091, 0.09090909091}