k^2+15k=0

Solution for k^2+15k=0 equation:

Simplifying
k2 + 15k = 0

Reorder the terms:
15k + k2 = 0

Solving
15k + k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(15 + 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 '(15 + k)' equal to zero and attempt to solve:

Simplifying
15 + k = 0

Solving
15 + k = 0

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

Add '-15' to each side of the equation.
15 + -15 + k = 0 + -15

Combine like terms: 15 + -15 = 0
0 + k = 0 + -15
k = 0 + -15

Combine like terms: 0 + -15 = -15
k = -15

Simplifying
k = -15
Solution
k = {0, -15}