4k^2+16k-240=0

Solution for 4k^2+16k-240=0 equation:

Simplifying
4k2 + 16k + -240 = 0

Reorder the terms:
-240 + 16k + 4k2 = 0

Solving
-240 + 16k + 4k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-60 + 4k + k2) = 0

Factor a trinomial.
4((-10 + -1k)(6 + -1k)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-10 + -1k)' equal to zero and attempt to solve:

Simplifying
-10 + -1k = 0

Solving
-10 + -1k = 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 + -1k = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1k = 0 + 10
-1k = 0 + 10

Combine like terms: 0 + 10 = 10
-1k = 10

Divide each side by '-1'.
k = -10

Simplifying
k = -10
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 = {-10, 6}