c^2=-36-13c

Solution for c^2=-36-13c equation:

Simplifying
c2 = -36 + -13c

Solving
c2 = -36 + -13c

Solving for variable 'c'.

Reorder the terms:
36 + 13c + c2 = -36 + -13c + 36 + 13c

Reorder the terms:
36 + 13c + c2 = -36 + 36 + -13c + 13c

Combine like terms: -36 + 36 = 0
36 + 13c + c2 = 0 + -13c + 13c
36 + 13c + c2 = -13c + 13c

Combine like terms: -13c + 13c = 0
36 + 13c + c2 = 0

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

Subproblem 1
Set the factor '(9 + c)' equal to zero and attempt to solve:

Simplifying
9 + c = 0

Solving
9 + c = 0

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

Add '-9' to each side of the equation.
9 + -9 + c = 0 + -9

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

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

Simplifying
c = -9
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 = {-9, -4}