(c-6)(2c+8)=

Solution for (c-6)(2c+8)= equation:

Simplifying
(c + -6)(2c + 8) = 0

Reorder the terms:
(-6 + c)(2c + 8) = 0

Reorder the terms:
(-6 + c)(8 + 2c) = 0

Multiply (-6 + c) * (8 + 2c)
(-6(8 + 2c) + c(8 + 2c)) = 0
((8 * -6 + 2c * -6) + c(8 + 2c)) = 0
((-48 + -12c) + c(8 + 2c)) = 0
(-48 + -12c + (8 * c + 2c * c)) = 0
(-48 + -12c + (8c + 2c2)) = 0

Combine like terms: -12c + 8c = -4c
(-48 + -4c + 2c2) = 0

Solving
-48 + -4c + 2c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + -2c + c2) = 0

Factor a trinomial.
2((-4 + -1c)(6 + -1c)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-4 + -1c)' equal to zero and attempt to solve:

Simplifying
-4 + -1c = 0

Solving
-4 + -1c = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1c = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1c = 0 + 4
-1c = 0 + 4

Combine like terms: 0 + 4 = 4
-1c = 4

Divide each side by '-1'.
c = -4

Simplifying
c = -4
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 = {-4, 6}