8k^2+72k+60=-4

Solution for 8k^2+72k+60=-4 equation:

Simplifying
8k2 + 72k + 60 = -4

Reorder the terms:
60 + 72k + 8k2 = -4

Solving
60 + 72k + 8k2 = -4

Solving for variable 'k'.

Reorder the terms:
60 + 4 + 72k + 8k2 = -4 + 4

Combine like terms: 60 + 4 = 64
64 + 72k + 8k2 = -4 + 4

Combine like terms: -4 + 4 = 0
64 + 72k + 8k2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(8 + 9k + k2) = 0

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

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

Simplifying
8 + k = 0

Solving
8 + k = 0

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

Add '-8' to each side of the equation.
8 + -8 + k = 0 + -8

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

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

Simplifying
k = -8
Subproblem 2
Set the factor '(1 + k)' equal to zero and attempt to solve:

Simplifying
1 + k = 0

Solving
1 + k = 0

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

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

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

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

Simplifying
k = -1
Solution
k = {-8, -1}