cos(2x)+sin(x)cos(x)=0

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Solution for cos(2x)+sin(x)cos(x)=0 equation: 


Simplifying
cos(2x) + sin(x) * cos(x) = 0

Remove parenthesis around (2x)
cos * 2x + sin(x) * cos(x) = 0

Reorder the terms for easier multiplication:
2cos * x + sin(x) * cos(x) = 0

Multiply cos * x
2cosx + sin(x) * cos(x) = 0

Multiply ins * x
2cosx + insx * cos * x = 0

Multiply insx * cos
2cosx + cinos2x * x = 0

Multiply cinos2x * x
2cosx + cinos2x2 = 0

Reorder the terms:
cinos2x2 + 2cosx = 0

Solving
cinos2x2 + 2cosx = 0

Solving for variable 'c'.

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

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

Simplifying
insx + 2 = 0

Reorder the terms:
2 + insx = 0

Solving
2 + insx = 0

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

Add '-2' to each side of the equation.
2 + -2 + insx = 0 + -2

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

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

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

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

Simplifying
0 = -2 + -1insx

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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