cosx(2cos+1)=0

Solution for cosx(2cos+1)=0 equation:

Simplifying
cosx(2cos + 1) = 0

Reorder the terms:
cosx(1 + 2cos) = 0
(1 * cosx + 2cos * cosx) = 0
(1cosx + 2c2o2s2x) = 0

Solving
1cosx + 2c2o2s2x = 0

Solving for variable 'c'.

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

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 + 2cos)' equal to zero and attempt to solve:

Simplifying
1 + 2cos = 0

Solving
1 + 2cos = 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 + 2cos = 0 + -1

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

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

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

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