6=3cos(2x-1)

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

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

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

Solving
6 = -3cos + 6cosx

Solving for variable 'c'.

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

Add '3cos' to each side of the equation.
6 + 3cos = -3cos + 3cos + 6cosx

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

Add '-6cosx' to each side of the equation.
6 + 3cos + -6cosx = 6cosx + -6cosx

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

Add '-6' to each side of the equation.
6 + 3cos + -6 + -6cosx = 0 + -6

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

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

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

Reorder the terms:
6 + 3cos + -6cosx = -6 + 6

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

Factor out the Greatest Common Factor (GCF), '3'.
3(2 + cos + -2cosx) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(2 + cos + -2cosx)' equal to zero and attempt to solve:

Simplifying
2 + cos + -2cosx = 0

Solving
2 + cos + -2cosx = 0

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

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

Reorder the terms:
2 + -2 + cos + -2cosx = 0 + -2

Combine like terms: 2 + -2 = 0
0 + cos + -2cosx = 0 + -2
cos + -2cosx = 0 + -2

Combine like terms: 0 + -2 = -2
cos + -2cosx = -2

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.