(c+9)(c+5)=-3

Solution for (c+9)(c+5)=-3 equation:

Simplifying
(c + 9)(c + 5) = -3

Reorder the terms:
(9 + c)(c + 5) = -3

Reorder the terms:
(9 + c)(5 + c) = -3

Multiply (9 + c) * (5 + c)
(9(5 + c) + c(5 + c)) = -3
((5 * 9 + c * 9) + c(5 + c)) = -3
((45 + 9c) + c(5 + c)) = -3
(45 + 9c + (5 * c + c * c)) = -3
(45 + 9c + (5c + c2)) = -3

Combine like terms: 9c + 5c = 14c
(45 + 14c + c2) = -3

Solving
45 + 14c + c2 = -3

Solving for variable 'c'.

Reorder the terms:
45 + 3 + 14c + c2 = -3 + 3

Combine like terms: 45 + 3 = 48
48 + 14c + c2 = -3 + 3

Combine like terms: -3 + 3 = 0
48 + 14c + c2 = 0

Factor a trinomial.
(8 + c)(6 + 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 '(6 + c)' equal to zero and attempt to solve:

Simplifying
6 + c = 0

Solving
6 + c = 0

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

Add '-6' to each side of the equation.
6 + -6 + c = 0 + -6

Combine like terms: 6 + -6 = 0
0 + c = 0 + -6
c = 0 + -6

Combine like terms: 0 + -6 = -6
c = -6

Simplifying
c = -6
Solution
c = {-8, -6}