(5c)(c+6)(c-8)=

Solution for (5c)(c+6)(c-8)= equation:

Simplifying
(5c)(c + 6)(c + -8) = 0

Remove parenthesis around (5c)
5c(c + 6)(c + -8) = 0

Reorder the terms:
5c(6 + c)(c + -8) = 0

Reorder the terms:
5c(6 + c)(-8 + c) = 0

Multiply (6 + c) * (-8 + c)
5c(6(-8 + c) + c(-8 + c)) = 0
5c((-8 * 6 + c * 6) + c(-8 + c)) = 0
5c((-48 + 6c) + c(-8 + c)) = 0
5c(-48 + 6c + (-8 * c + c * c)) = 0
5c(-48 + 6c + (-8c + c2)) = 0

Combine like terms: 6c + -8c = -2c
5c(-48 + -2c + c2) = 0
(-48 * 5c + -2c * 5c + c2 * 5c) = 0
(-240c + -10c2 + 5c3) = 0

Solving
-240c + -10c2 + 5c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '5c'.
5c(-48 + -2c + c2) = 0

Factor a trinomial.
5c((-6 + -1c)(8 + -1c)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'c' equal to zero and attempt to solve:

Simplifying
c = 0

Solving
c = 0

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

Simplifying
c = 0
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
Subproblem 3
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
Solution
c = {0, -6, 8}