5k^2-24k-36=0

Solution for 5k^2-24k-36=0 equation:

Simplifying
5k2 + -24k + -36 = 0

Reorder the terms:
-36 + -24k + 5k2 = 0

Solving
-36 + -24k + 5k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-6 + -5k)(6 + -1k) = 0

Subproblem 1
Set the factor '(-6 + -5k)' equal to zero and attempt to solve:

Simplifying
-6 + -5k = 0

Solving
-6 + -5k = 0

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

Add '6' to each side of the equation.
-6 + 6 + -5k = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5k = 0 + 6
-5k = 0 + 6

Combine like terms: 0 + 6 = 6
-5k = 6

Divide each side by '-5'.
k = -1.2

Simplifying
k = -1.2
Subproblem 2
Set the factor '(6 + -1k)' equal to zero and attempt to solve:

Simplifying
6 + -1k = 0

Solving
6 + -1k = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1k = 0 + -6

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

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

Divide each side by '-1'.
k = 6

Simplifying
k = 6
Solution
k = {-1.2, 6}