k^2+11k=0

Solution for k^2+11k=0 equation:

Simplifying
k2 + 11k = 0

Reorder the terms:
11k + k2 = 0

Solving
11k + k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(11 + k) = 0

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 '(11 + k)' equal to zero and attempt to solve:

Simplifying
11 + k = 0

Solving
11 + k = 0

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

Add '-11' to each side of the equation.
11 + -11 + k = 0 + -11

Combine like terms: 11 + -11 = 0
0 + k = 0 + -11
k = 0 + -11

Combine like terms: 0 + -11 = -11
k = -11

Simplifying
k = -11
Solution
k = {0, -11}