0=c(c+2)

Solution for 0=c(c+2) equation:

Simplifying
0 = c(c + 2)

Reorder the terms:
0 = c(2 + c)
0 = (2 * c + c * c)
0 = (2c + c2)

Solving
0 = 2c + c2

Solving for variable 'c'.
Remove the zero:
-2c + -1c2 = 2c + c2 + -2c + -1c2

Reorder the terms:
-2c + -1c2 = 2c + -2c + c2 + -1c2

Combine like terms: 2c + -2c = 0
-2c + -1c2 = 0 + c2 + -1c2
-2c + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
-2c + -1c2 = 0

Factor out the Greatest Common Factor (GCF), '-1c'.
-1c(2 + c) = 0

Ignore the factor -1.
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 '(2 + c)' equal to zero and attempt to solve:

Simplifying
2 + c = 0

Solving
2 + c = 0

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

Add '-2' to each side of the equation.
2 + -2 + c = 0 + -2

Combine like terms: 2 + -2 = 0
0 + c = 0 + -2
c = 0 + -2

Combine like terms: 0 + -2 = -2
c = -2

Simplifying
c = -2
Solution
c = {0, -2}