cos(3x-1)+cos(6-2x)=0

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Solution for cos(3x-1)+cos(6-2x)=0 equation: 


Simplifying
cos(3x + -1) + cos(6 + -2x) = 0

Reorder the terms:
cos(-1 + 3x) + cos(6 + -2x) = 0
(-1 * cos + 3x * cos) + cos(6 + -2x) = 0
(-1cos + 3cosx) + cos(6 + -2x) = 0
-1cos + 3cosx + (6 * cos + -2x * cos) = 0
-1cos + 3cosx + (6cos + -2cosx) = 0

Reorder the terms:
-1cos + 6cos + 3cosx + -2cosx = 0

Combine like terms: -1cos + 6cos = 5cos
5cos + 3cosx + -2cosx = 0

Combine like terms: 3cosx + -2cosx = 1cosx
5cos + 1cosx = 0

Solving
5cos + 1cosx = 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), 'cos'.
cos(5 + x) = 0


Subproblem 1
Set the factor 'cos' equal to zero and attempt to solve:

Simplifying
cos = 0

Solving
cos = 0

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

Simplifying
cos = 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 '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Add '-1x' to each side of the equation.
x + -1x = -5 + -1x

Combine like terms: x + -1x = 0
0 = -5 + -1x

Simplifying
0 = -5 + -1x

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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