8k^2-29k-12=0

Solution for 8k^2-29k-12=0 equation:

Simplifying
8k2 + -29k + -12 = 0

Reorder the terms:
-12 + -29k + 8k2 = 0

Solving
-12 + -29k + 8k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-3 + -8k)(4 + -1k) = 0

Subproblem 1
Set the factor '(-3 + -8k)' equal to zero and attempt to solve:

Simplifying
-3 + -8k = 0

Solving
-3 + -8k = 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 + -8k = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -8k = 0 + 3
-8k = 0 + 3

Combine like terms: 0 + 3 = 3
-8k = 3

Divide each side by '-8'.
k = -0.375

Simplifying
k = -0.375
Subproblem 2
Set the factor '(4 + -1k)' equal to zero and attempt to solve:

Simplifying
4 + -1k = 0

Solving
4 + -1k = 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 + -1k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1k = 0 + -4
-1k = 0 + -4

Combine like terms: 0 + -4 = -4
-1k = -4

Divide each side by '-1'.
k = 4

Simplifying
k = 4
Solution
k = {-0.375, 4}