c^2+16c+15=0

Solution for c^2+16c+15=0 equation:

Simplifying
c2 + 16c + 15 = 0

Reorder the terms:
15 + 16c + c2 = 0

Solving
15 + 16c + c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(15 + c)(1 + c) = 0

Subproblem 1
Set the factor '(15 + c)' equal to zero and attempt to solve:

Simplifying
15 + c = 0

Solving
15 + c = 0

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

Add '-15' to each side of the equation.
15 + -15 + c = 0 + -15

Combine like terms: 15 + -15 = 0
0 + c = 0 + -15
c = 0 + -15

Combine like terms: 0 + -15 = -15
c = -15

Simplifying
c = -15
Subproblem 2
Set the factor '(1 + c)' equal to zero and attempt to solve:

Simplifying
1 + c = 0

Solving
1 + c = 0

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

Add '-1' to each side of the equation.
1 + -1 + c = 0 + -1

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

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

Simplifying
c = -1
Solution
c = {-15, -1}