c^2=-5c

Solution for c^2=-5c equation:

Simplifying
c2 = -5c

Solving
c2 = -5c

Solving for variable 'c'.

Reorder the terms:
5c + c2 = -5c + 5c

Combine like terms: -5c + 5c = 0
5c + c2 = 0

Factor out the Greatest Common Factor (GCF), 'c'.
c(5 + c) = 0

Subproblem 1
Set the factor 'c' equal to zero and attempt to solve:

Simplifying
c = 0

Solving
c = 0

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

Simplifying
c = 0
Subproblem 2
Set the factor '(5 + c)' equal to zero and attempt to solve:

Simplifying
5 + c = 0

Solving
5 + c = 0

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

Add '-5' to each side of the equation.
5 + -5 + c = 0 + -5

Combine like terms: 5 + -5 = 0
0 + c = 0 + -5
c = 0 + -5

Combine like terms: 0 + -5 = -5
c = -5

Simplifying
c = -5
Solution
c = {0, -5}