(c+8)(c+6)=

Solution for (c+8)(c+6)= equation:

Simplifying
(c + 8)(c + 6) = 0

Reorder the terms:
(8 + c)(c + 6) = 0

Reorder the terms:
(8 + c)(6 + c) = 0

Multiply (8 + c) * (6 + c)
(8(6 + c) + c(6 + c)) = 0
((6 * 8 + c * 8) + c(6 + c)) = 0
((48 + 8c) + c(6 + c)) = 0
(48 + 8c + (6 * c + c * c)) = 0
(48 + 8c + (6c + c2)) = 0

Combine like terms: 8c + 6c = 14c
(48 + 14c + c2) = 0

Solving
48 + 14c + c2 = 0

Solving for variable 'c'.

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}