k^2=-10k

Solution for k^2=-10k equation:

Simplifying
k2 = -10k

Solving
k2 = -10k

Solving for variable 'k'.

Reorder the terms:
10k + k2 = -10k + 10k

Combine like terms: -10k + 10k = 0
10k + k2 = 0

Factor out the Greatest Common Factor (GCF), 'k'.
k(10 + 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 '(10 + k)' equal to zero and attempt to solve:

Simplifying
10 + k = 0

Solving
10 + k = 0

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

Add '-10' to each side of the equation.
10 + -10 + k = 0 + -10

Combine like terms: 10 + -10 = 0
0 + k = 0 + -10
k = 0 + -10

Combine like terms: 0 + -10 = -10
k = -10

Simplifying
k = -10
Solution
k = {0, -10}