-6k^2-13k-2=0

Solution for -6k^2-13k-2=0 equation:

Simplifying
-6k2 + -13k + -2 = 0

Reorder the terms:
-2 + -13k + -6k2 = 0

Solving
-2 + -13k + -6k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(2 + 13k + 6k2) = 0

Factor a trinomial.
-1((2 + k)(1 + 6k)) = 0

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

Simplifying
2 + k = 0

Solving
2 + k = 0

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

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

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

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

Simplifying
k = -2
Subproblem 2
Set the factor '(1 + 6k)' equal to zero and attempt to solve:

Simplifying
1 + 6k = 0

Solving
1 + 6k = 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 + 6k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6k = 0 + -1
6k = 0 + -1

Combine like terms: 0 + -1 = -1
6k = -1

Divide each side by '6'.
k = -0.1666666667

Simplifying
k = -0.1666666667
Solution
k = {-2, -0.1666666667}