(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 = 2c
(-48 + 2c + c2) = 0

Solving
-48 + 2c + c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-8 + -1c)(6 + -1c) = 0

Subproblem 1
Set the factor '(-8 + -1c)' equal to zero and attempt to solve:

Simplifying
-8 + -1c = 0

Solving
-8 + -1c = 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 + -1c = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1c = 0 + 8
-1c = 0 + 8

Combine like terms: 0 + 8 = 8
-1c = 8

Divide each side by '-1'.
c = -8

Simplifying
c = -8
Subproblem 2
Set the factor '(6 + -1c)' equal to zero and attempt to solve:

Simplifying
6 + -1c = 0

Solving
6 + -1c = 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 + -1c = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1c = 0 + -6
-1c = 0 + -6

Combine like terms: 0 + -6 = -6
-1c = -6

Divide each side by '-1'.
c = 6

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