Cosy(2x)=cos(3x)

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


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

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

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

Multiply osyC * x
2osxyC = cos(3x)

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

Reorder the terms for easier multiplication:
2osxyC = 3cos * x

Multiply cos * x
2osxyC = 3cosx

Solving
2osxyC = 3cosx

Solving for variable 'o'.

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

Add '-3cosx' to each side of the equation.
-3cosx + 2osxyC = 3cosx + -3cosx

Combine like terms: 3cosx + -3cosx = 0
-3cosx + 2osxyC = 0

Factor out the Greatest Common Factor (GCF), 'osx'.
osx(-3c + 2yC) = 0

Subproblem 1

Set the factor 'osx' equal to zero and attempt to solve: Simplifying osx = 0 Solving osx = 0 Move all terms containing o to the left, all other terms to the right. Simplifying osx = 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 '(-3c + 2yC)' equal to zero and attempt to solve: Simplifying -3c + 2yC = 0 Solving -3c + 2yC = 0 Move all terms containing o to the left, all other terms to the right. Add '3c' to each side of the equation. -3c + 3c + 2yC = 0 + 3c Combine like terms: -3c + 3c = 0 0 + 2yC = 0 + 3c 2yC = 0 + 3c Remove the zero: 2yC = 3c Add '-2yC' to each side of the equation. 2yC + -2yC = 3c + -2yC Combine like terms: 2yC + -2yC = 0 0 = 3c + -2yC Simplifying 0 = 3c + -2yC 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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