k^2+36k=0

Solution for k^2+36k=0 equation:

Simplifying
k2 + 36k = 0

Reorder the terms:
36k + k2 = 0

Solving
36k + k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(36 + 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 '(36 + k)' equal to zero and attempt to solve:

Simplifying
36 + k = 0

Solving
36 + k = 0

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

Add '-36' to each side of the equation.
36 + -36 + k = 0 + -36

Combine like terms: 36 + -36 = 0
0 + k = 0 + -36
k = 0 + -36

Combine like terms: 0 + -36 = -36
k = -36

Simplifying
k = -36
Solution
k = {0, -36}