2cos(3x)=3cos(5x)

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Solution for 2cos(3x)=3cos(5x) equation:


Simplifying
2cos(3x) = 3cos(5x)

Remove parenthesis around (3x)
2cos * 3x = 3cos(5x)

Reorder the terms for easier multiplication:
2 * 3cos * x = 3cos(5x)

Multiply 2 * 3
6cos * x = 3cos(5x)

Multiply cos * x
6cosx = 3cos(5x)

Remove parenthesis around (5x)
6cosx = 3cos * 5x

Reorder the terms for easier multiplication:
6cosx = 3 * 5cos * x

Multiply 3 * 5
6cosx = 15cos * x

Multiply cos * x
6cosx = 15cosx

Solving
6cosx = 15cosx

Solving for variable 'c'.

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

Add '-15cosx' to each side of the equation.
6cosx + -15cosx = 15cosx + -15cosx

Combine like terms: 6cosx + -15cosx = -9cosx
-9cosx = 15cosx + -15cosx

Combine like terms: 15cosx + -15cosx = 0
-9cosx = 0

Divide each side by '-9'.
cosx = 0

Simplifying
cosx = 0

The solution to this equation could not be determined.

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