cos*2x=5cos

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Solution for cos*2x=5cos equation: 


Simplifying
cos * 2x = 5cos

Reorder the terms for easier multiplication:
2cos * x = 5cos

Multiply cos * x
2cosx = 5cos

Solving
2cosx = 5cos

Solving for variable 'c'.

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

Add '-5cos' to each side of the equation.
-5cos + 2cosx = 5cos + -5cos

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

Factor out the Greatest Common Factor (GCF), 'cos'.
cos(-5 + 2x) = 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 + 2x)' equal to zero and attempt to solve:

Simplifying
-5 + 2x = 0

Solving
-5 + 2x = 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 + 2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 0 + 5
2x = 0 + 5

Combine like terms: 0 + 5 = 5
2x = 5

Add '-2x' to each side of the equation.
2x + -2x = 5 + -2x

Combine like terms: 2x + -2x = 0
0 = 5 + -2x

Simplifying
0 = 5 + -2x

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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