121x^2+22x+1=0

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

Simplifying
121x2 + 22x + 1 = 0

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

Solving
1 + 22x + 121x2 = 0

Solving for variable 'x'.

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}