c^2+10c=0

Solution for c^2+10c=0 equation:

Simplifying
c2 + 10c = 0

Reorder the terms:
10c + c2 = 0

Solving
10c + c2 = 0

Solving for variable 'c'.

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

Simplifying
10 + c = 0

Solving
10 + c = 0

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

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

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

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

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