(10cosx-5)(8cosx)=0

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Solution for (10cosx-5)(8cosx)=0 equation: 


Simplifying
(10cosx + -5)(8cosx) = 0

Reorder the terms:
(-5 + 10cosx)(8cosx) = 0

Remove parenthesis around (8cosx)
(-5 + 10cosx) * 8cosx = 0

Reorder the terms for easier multiplication:
8cosx(-5 + 10cosx) = 0
(-5 * 8cosx + 10cosx * 8cosx) = 0
(-40cosx + 80c2o2s2x2) = 0

Solving
-40cosx + 80c2o2s2x2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '40cosx'.
40cosx(-1 + 2cosx) = 0

Ignore the factor 40.

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}

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