5k^2+36k+36=0

Solution for 5k^2+36k+36=0 equation:

Simplifying
5k2 + 36k + 36 = 0

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

Solving
36 + 36k + 5k2 = 0

Solving for variable 'k'.

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

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

Simplifying
6 + k = 0

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

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

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

Simplifying
k = -6
Subproblem 2
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
Solution
k = {-6, -1.2}