-2cotx-1-cot^2x=0

Solution for -2cotx-1-cot^2x=0 equation:

Simplifying
-2cotx + -1 + -1cot2x = 0

Reorder the terms:
-1 + -2cotx + -1cot2x = 0

Solving
-1 + -2cotx + -1cot2x = 0

Solving for variable 'c'.

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

Add '1' to each side of the equation.
-1 + -2cotx + 1 + -1cot2x = 0 + 1

Reorder the terms:
-1 + 1 + -2cotx + -1cot2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2cotx + -1cot2x = 0 + 1
-2cotx + -1cot2x = 0 + 1

Combine like terms: 0 + 1 = 1
-2cotx + -1cot2x = 1

Reorder the terms:
-1 + -2cotx + -1cot2x = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -2cotx + -1cot2x = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + 2cotx + cot2x) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(1 + 2cotx + cot2x)' equal to zero and attempt to solve:

Simplifying
1 + 2cotx + cot2x = 0

Solving
1 + 2cotx + cot2x = 0

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

Add '-1' to each side of the equation.
1 + 2cotx + -1 + cot2x = 0 + -1

Reorder the terms:
1 + -1 + 2cotx + cot2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2cotx + cot2x = 0 + -1
2cotx + cot2x = 0 + -1

Combine like terms: 0 + -1 = -1
2cotx + cot2x = -1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.