14k^2-13k-12=0

Solution for 14k^2-13k-12=0 equation:

Simplifying
14k2 + -13k + -12 = 0

Reorder the terms:
-12 + -13k + 14k2 = 0

Solving
-12 + -13k + 14k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-4 + -7k)(3 + -2k) = 0

Subproblem 1
Set the factor '(-4 + -7k)' equal to zero and attempt to solve:

Simplifying
-4 + -7k = 0

Solving
-4 + -7k = 0

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

Add '4' to each side of the equation.
-4 + 4 + -7k = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -7k = 0 + 4
-7k = 0 + 4

Combine like terms: 0 + 4 = 4
-7k = 4

Divide each side by '-7'.
k = -0.5714285714

Simplifying
k = -0.5714285714
Subproblem 2
Set the factor '(3 + -2k)' equal to zero and attempt to solve:

Simplifying
3 + -2k = 0

Solving
3 + -2k = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2k = 0 + -3
-2k = 0 + -3

Combine like terms: 0 + -3 = -3
-2k = -3

Divide each side by '-2'.
k = 1.5

Simplifying
k = 1.5
Solution
k = {-0.5714285714, 1.5}