8(c-9)=6(sc-12)-4c

Solution for 8(c-9)=6(sc-12)-4c equation:

Simplifying
8(c + -9) = 6(sc + -12) + -4c

Reorder the terms:
8(-9 + c) = 6(sc + -12) + -4c
(-9 * 8 + c * 8) = 6(sc + -12) + -4c
(-72 + 8c) = 6(sc + -12) + -4c

Reorder the terms:
-72 + 8c = 6(-12 + cs) + -4c
-72 + 8c = (-12 * 6 + cs * 6) + -4c
-72 + 8c = (-72 + 6cs) + -4c

Reorder the terms:
-72 + 8c = -72 + -4c + 6cs

Add '72' to each side of the equation.
-72 + 72 + 8c = -72 + -4c + 72 + 6cs

Combine like terms: -72 + 72 = 0
0 + 8c = -72 + -4c + 72 + 6cs
8c = -72 + -4c + 72 + 6cs

Reorder the terms:
8c = -72 + 72 + -4c + 6cs

Combine like terms: -72 + 72 = 0
8c = 0 + -4c + 6cs
8c = -4c + 6cs

Solving
8c = -4c + 6cs

Solving for variable 'c'.

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

Add '4c' to each side of the equation.
8c + 4c = -4c + 4c + 6cs

Combine like terms: 8c + 4c = 12c
12c = -4c + 4c + 6cs

Combine like terms: -4c + 4c = 0
12c = 0 + 6cs
12c = 6cs

Add '-6cs' to each side of the equation.
12c + -6cs = 6cs + -6cs

Combine like terms: 6cs + -6cs = 0
12c + -6cs = 0

Factor out the Greatest Common Factor (GCF), '6c'.
6c(2 + -1s) = 0

Ignore the factor 6.
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 '(2 + -1s)' equal to zero and attempt to solve:

Simplifying
2 + -1s = 0

Solving
2 + -1s = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1s = 0 + -2
-1s = 0 + -2

Combine like terms: 0 + -2 = -2
-1s = -2

Add 's' to each side of the equation.
-1s + s = -2 + s

Combine like terms: -1s + s = 0
0 = -2 + s

Simplifying
0 = -2 + s

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
c = {0}