2cos(x)sin(x)=-cos(x)

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Solution for 2cos(x)sin(x)=-cos(x) equation: 


Simplifying
2cos(x) * sin(x) = -1cos(x)

Multiply cos * x
2cosx * ins * x = -1cos(x)

Multiply cosx * ins
2cinos2x * x = -1cos(x)

Multiply cinos2x * x
2cinos2x2 = -1cos(x)

Multiply cos * x
2cinos2x2 = -1cosx

Solving
2cinos2x2 = -1cosx

Solving for variable 'c'.

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

Add 'cosx' to each side of the equation.
2cinos2x2 + cosx = -1cosx + cosx

Combine like terms: -1cosx + cosx = 0
2cinos2x2 + cosx = 0

Factor out the Greatest Common Factor (GCF), 'cosx'.
cosx(2insx + 1) = 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 '(2insx + 1)' equal to zero and attempt to solve:

Simplifying
2insx + 1 = 0

Reorder the terms:
1 + 2insx = 0

Solving
1 + 2insx = 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 + 2insx = 0 + -1

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

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

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

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

Simplifying
0 = -1 + -2insx

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.

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