2k^2-9k-11=0

Solution for 2k^2-9k-11=0 equation:

Simplifying
2k2 + -9k + -11 = 0

Reorder the terms:
-11 + -9k + 2k2 = 0

Solving
-11 + -9k + 2k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-1 + -1k)(11 + -2k) = 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 '(11 + -2k)' equal to zero and attempt to solve:

Simplifying
11 + -2k = 0

Solving
11 + -2k = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2k = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2k = 0 + -11
-2k = 0 + -11

Combine like terms: 0 + -11 = -11
-2k = -11

Divide each side by '-2'.
k = 5.5

Simplifying
k = 5.5
Solution
k = {-1, 5.5}