4k(k+1)=0

Solution for 4k(k+1)=0 equation:

Simplifying
4k(k + 1) = 0

Reorder the terms:
4k(1 + k) = 0
(1 * 4k + k * 4k) = 0
(4k + 4k2) = 0

Solving
4k + 4k2 = 0

Solving for variable 'k'.

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