Cos(x)=2cos(2x)

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Solution for Cos(x)=2cos(2x) equation:


Simplifying
Cos(x) = 2cos(2x)

Multiply osC * x
osxC = 2cos(2x)

Remove parenthesis around (2x)
osxC = 2cos * 2x

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

Multiply 2 * 2
osxC = 4cos * x

Multiply cos * x
osxC = 4cosx

Solving
osxC = 4cosx

Solving for variable 'o'.

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

Add '-4cosx' to each side of the equation.
-4cosx + osxC = 4cosx + -4cosx

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

Factor out the Greatest Common Factor (GCF), 'osx'.
osx(-4c + C) = 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 '(-4c + C)' equal to zero and attempt to solve: Simplifying -4c + C = 0 Reorder the terms: C + -4c = 0 Solving C + -4c = 0 Move all terms containing o to the left, all other terms to the right. Add '-1C' to each side of the equation. C + -1C + -4c = 0 + -1C Combine like terms: C + -1C = 0 0 + -4c = 0 + -1C -4c = 0 + -1C Remove the zero: -4c = -1C Add '4c' to each side of the equation. -4c + 4c = -1C + 4c Combine like terms: -4c + 4c = 0 0 = -1C + 4c Simplifying 0 = -1C + 4c 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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