4cos(2x-30)+4=2

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Solution for 4cos(2x-30)+4=2 equation: 


Simplifying
4cos(2x + -30) + 4 = 2

Reorder the terms:
4cos(-30 + 2x) + 4 = 2
(-30 * 4cos + 2x * 4cos) + 4 = 2
(-120cos + 8cosx) + 4 = 2

Reorder the terms:
4 + -120cos + 8cosx = 2

Solving
4 + -120cos + 8cosx = 2

Solving for variable 'c'.

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

Add '-4' to each side of the equation.
4 + -120cos + -4 + 8cosx = 2 + -4

Reorder the terms:
4 + -4 + -120cos + 8cosx = 2 + -4

Combine like terms: 4 + -4 = 0
0 + -120cos + 8cosx = 2 + -4
-120cos + 8cosx = 2 + -4

Combine like terms: 2 + -4 = -2
-120cos + 8cosx = -2

Reorder the terms:
2 + -120cos + 8cosx = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -120cos + 8cosx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -60cos + 4cosx) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + -60cos + 4cosx)' equal to zero and attempt to solve:

Simplifying
1 + -60cos + 4cosx = 0

Solving
1 + -60cos + 4cosx = 0

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

Add '-1' to each side of the equation.
1 + -60cos + -1 + 4cosx = 0 + -1

Reorder the terms:
1 + -1 + -60cos + 4cosx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -60cos + 4cosx = 0 + -1
-60cos + 4cosx = 0 + -1

Combine like terms: 0 + -1 = -1
-60cos + 4cosx = -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.

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