Cos(4x)=cos(3x)

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Solution for Cos(4x)=cos(3x) equation:


Simplifying
Cos(4x) = cos(3x)

Remove parenthesis around (4x)
osC * 4x = cos(3x)

Reorder the terms for easier multiplication:
4osC * x = cos(3x)

Multiply osC * x
4osxC = cos(3x)

Remove parenthesis around (3x)
4osxC = cos * 3x

Reorder the terms for easier multiplication:
4osxC = 3cos * x

Multiply cos * x
4osxC = 3cosx

Solving
4osxC = 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 + 4osxC = 3cosx + -3cosx

Combine like terms: 3cosx + -3cosx = 0
-3cosx + 4osxC = 0

Factor out the Greatest Common Factor (GCF), 'osx'.
osx(-3c + 4C) = 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 + 4C)' equal to zero and attempt to solve: Simplifying -3c + 4C = 0 Reorder the terms: 4C + -3c = 0 Solving 4C + -3c = 0 Move all terms containing o to the left, all other terms to the right. Add '-4C' to each side of the equation. 4C + -4C + -3c = 0 + -4C Combine like terms: 4C + -4C = 0 0 + -3c = 0 + -4C -3c = 0 + -4C Remove the zero: -3c = -4C Add '3c' to each side of the equation. -3c + 3c = -4C + 3c Combine like terms: -3c + 3c = 0 0 = -4C + 3c Simplifying 0 = -4C + 3c 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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