k^2-11k+6=-4

Solution for k^2-11k+6=-4 equation:

Simplifying
k2 + -11k + 6 = -4

Reorder the terms:
6 + -11k + k2 = -4

Solving
6 + -11k + k2 = -4

Solving for variable 'k'.

Reorder the terms:
6 + 4 + -11k + k2 = -4 + 4

Combine like terms: 6 + 4 = 10
10 + -11k + k2 = -4 + 4

Combine like terms: -4 + 4 = 0
10 + -11k + k2 = 0

Factor a trinomial.
(1 + -1k)(10 + -1k) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(10 + -1k)' equal to zero and attempt to solve:

Simplifying
10 + -1k = 0

Solving
10 + -1k = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1k = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1k = 0 + -10
-1k = 0 + -10

Combine like terms: 0 + -10 = -10
-1k = -10

Divide each side by '-1'.
k = 10

Simplifying
k = 10
Solution
k = {1, 10}