9k^2+64k+60=0

Solution for 9k^2+64k+60=0 equation:

Simplifying
9k2 + 64k + 60 = 0

Reorder the terms:
60 + 64k + 9k2 = 0

Solving
60 + 64k + 9k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(6 + k)(10 + 9k) = 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 '(10 + 9k)' equal to zero and attempt to solve:

Simplifying
10 + 9k = 0

Solving
10 + 9k = 0

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

Add '-10' to each side of the equation.
10 + -10 + 9k = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 9k = 0 + -10
9k = 0 + -10

Combine like terms: 0 + -10 = -10
9k = -10

Divide each side by '9'.
k = -1.111111111

Simplifying
k = -1.111111111
Solution
k = {-6, -1.111111111}