12k^2+6k-60=0

Solution for 12k^2+6k-60=0 equation:

Simplifying
12k2 + 6k + -60 = 0

Reorder the terms:
-60 + 6k + 12k2 = 0

Solving
-60 + 6k + 12k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-10 + k + 2k2) = 0

Factor a trinomial.
6((-5 + -2k)(2 + -1k)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(-5 + -2k)' equal to zero and attempt to solve:

Simplifying
-5 + -2k = 0

Solving
-5 + -2k = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2k = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2k = 0 + 5
-2k = 0 + 5

Combine like terms: 0 + 5 = 5
-2k = 5

Divide each side by '-2'.
k = -2.5

Simplifying
k = -2.5
Subproblem 2
Set the factor '(2 + -1k)' equal to zero and attempt to solve:

Simplifying
2 + -1k = 0

Solving
2 + -1k = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1k = 0 + -2
-1k = 0 + -2

Combine like terms: 0 + -2 = -2
-1k = -2

Divide each side by '-1'.
k = 2

Simplifying
k = 2
Solution
k = {-2.5, 2}