C^2+8C=-15

Solution for C^2+8C=-15 equation:

Simplifying
C2 + 8C = -15

Reorder the terms:
8C + C2 = -15

Solving
8C + C2 = -15

Solving for variable 'C'.

Reorder the terms:
15 + 8C + C2 = -15 + 15

Combine like terms: -15 + 15 = 0
15 + 8C + C2 = 0

Factor a trinomial.
(5 + C)(3 + 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 '(3 + C)' equal to zero and attempt to solve:

Simplifying
3 + C = 0

Solving
3 + C = 0

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

Add '-3' to each side of the equation.
3 + -3 + C = 0 + -3

Combine like terms: 3 + -3 = 0
0 + C = 0 + -3
C = 0 + -3

Combine like terms: 0 + -3 = -3
C = -3

Simplifying
C = -3
Solution
C = {-5, -3}