11k^2-12k+1=

Solution for 11k^2-12k+1= equation:

Simplifying
11k2 + -12k + 1 = 0

Reorder the terms:
1 + -12k + 11k2 = 0

Solving
1 + -12k + 11k2 = 0

Solving for variable 'k'.

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

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

Simplifying
1 + -11k = 0

Solving
1 + -11k = 0

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

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

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

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

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

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

Simplifying
1 + -1k = 0

Solving
1 + -1k = 0

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

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

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

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

Divide each side by '-1'.
k = 1

Simplifying
k = 1
Solution
k = {0.09090909091, 1}