(12cosx-6)(5cosx)=0

Solution for (12cosx-6)(5cosx)=0 equation:

Simplifying
(12cosx + -6)(5cosx) = 0

Reorder the terms:
(-6 + 12cosx)(5cosx) = 0

Remove parenthesis around (5cosx)
(-6 + 12cosx) * 5cosx = 0

Reorder the terms for easier multiplication:
5cosx(-6 + 12cosx) = 0
(-6 * 5cosx + 12cosx * 5cosx) = 0
(-30cosx + 60c2o2s2x2) = 0

Solving
-30cosx + 60c2o2s2x2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '30cosx'.
30cosx(-1 + 2cosx) = 0

Ignore the factor 30.
Subproblem 1
Set the factor 'cosx' equal to zero and attempt to solve:

Simplifying
cosx = 0

Solving
cosx = 0

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

Simplifying
cosx = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-1 + 2cosx)' equal to zero and attempt to solve:

Simplifying
-1 + 2cosx = 0

Solving
-1 + 2cosx = 0

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

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

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

Combine like terms: 0 + 1 = 1
2cosx = 1

Divide each side by '2osx'.
c = 0.5o-1s-1x-1

Simplifying
c = 0.5o-1s-1x-1
Solution
c = {0.5o-1s-1x-1}