10cos(3x-1)=10

Solution for 10cos(3x-1)=10 equation:

Simplifying
10cos(3x + -1) = 10

Reorder the terms:
10cos(-1 + 3x) = 10
(-1 * 10cos + 3x * 10cos) = 10
(-10cos + 30cosx) = 10

Solving
-10cos + 30cosx = 10

Solving for variable 'c'.

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

Reorder the terms:
-10 + -10cos + 30cosx = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + -10cos + 30cosx = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(-1 + -1cos + 3cosx) = 0

Ignore the factor 10.
Subproblem 1
Set the factor '(-1 + -1cos + 3cosx)' equal to zero and attempt to solve:

Simplifying
-1 + -1cos + 3cosx = 0

Solving
-1 + -1cos + 3cosx = 0

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

Add '1' to each side of the equation.
-1 + -1cos + 1 + 3cosx = 0 + 1

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

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

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