c^2+9c=-20

Solution for c^2+9c=-20 equation:

Simplifying
c2 + 9c = -20

Reorder the terms:
9c + c2 = -20

Solving
9c + c2 = -20

Solving for variable 'c'.

Reorder the terms:
20 + 9c + c2 = -20 + 20

Combine like terms: -20 + 20 = 0
20 + 9c + c2 = 0

Factor a trinomial.
(5 + c)(4 + c) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(4 + c)' equal to zero and attempt to solve:

Simplifying
4 + c = 0

Solving
4 + c = 0

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

Add '-4' to each side of the equation.
4 + -4 + c = 0 + -4

Combine like terms: 4 + -4 = 0
0 + c = 0 + -4
c = 0 + -4

Combine like terms: 0 + -4 = -4
c = -4

Simplifying
c = -4
Solution
c = {-5, -4}