-16k^2-4k=0

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

Simplifying
-16k2 + -4k = 0

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

Solving
-4k + -16k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '-4k'.
-4k(1 + 4k) = 0

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

Simplifying
k = 0

Solving
k = 0

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

Simplifying
k = 0
Subproblem 2
Set the factor '(1 + 4k)' equal to zero and attempt to solve:

Simplifying
1 + 4k = 0

Solving
1 + 4k = 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 + 4k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4k = 0 + -1
4k = 0 + -1

Combine like terms: 0 + -1 = -1
4k = -1

Divide each side by '4'.
k = -0.25

Simplifying
k = -0.25
Solution
k = {0, -0.25}