4k^2+16k=0

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

Simplifying
4k2 + 16k = 0

Reorder the terms:
16k + 4k2 = 0

Solving
16k + 4k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '4k'.
4k(4 + k) = 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 '(4 + k)' equal to zero and attempt to solve:

Simplifying
4 + k = 0

Solving
4 + k = 0

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

Add '-4' to each side of the equation.
4 + -4 + k = 0 + -4

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

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

Simplifying
k = -4
Solution
k = {0, -4}