cotx*cosx+cosx=0

Solution for cotx*cosx+cosx=0 equation:

Simplifying
cotx * cosx + cosx = 0

Multiply cotx * cosx
c2o2stx2 + cosx = 0

Reorder the terms:
cosx + c2o2stx2 = 0

Solving
cosx + c2o2stx2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'cosx'.
cosx(1 + cotx) = 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 + cotx)' equal to zero and attempt to solve:

Simplifying
1 + cotx = 0

Solving
1 + cotx = 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 + cotx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + cotx = 0 + -1
cotx = 0 + -1

Combine like terms: 0 + -1 = -1
cotx = -1

Divide each side by 'otx'.
c = -1o-1t-1x-1

Simplifying
c = -1o-1t-1x-1
Solution
c = {-1o-1t-1x-1}