c^2+13c=-40

Solution for c^2+13c=-40 equation:

Simplifying
c2 + 13c = -40

Reorder the terms:
13c + c2 = -40

Solving
13c + c2 = -40

Solving for variable 'c'.

Reorder the terms:
40 + 13c + c2 = -40 + 40

Combine like terms: -40 + 40 = 0
40 + 13c + c2 = 0

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

Subproblem 1
Set the factor '(8 + c)' equal to zero and attempt to solve:

Simplifying
8 + c = 0

Solving
8 + c = 0

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

Add '-8' to each side of the equation.
8 + -8 + c = 0 + -8

Combine like terms: 8 + -8 = 0
0 + c = 0 + -8
c = 0 + -8

Combine like terms: 0 + -8 = -8
c = -8

Simplifying
c = -8
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 = {-8, -5}