cos^2(2x)-cos(3x)=0

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Solution for cos^2(2x)-cos(3x)=0 equation:


Simplifying
cos2(2x) + -1cos(3x) = 0

Remove parenthesis around (2x)
cos2 * 2x + -1cos(3x) = 0

Reorder the terms for easier multiplication:
2cos2 * x + -1cos(3x) = 0

Multiply cos2 * x
2cos2x + -1cos(3x) = 0

Remove parenthesis around (3x)
2cos2x + -1cos * 3x = 0

Reorder the terms for easier multiplication:
2cos2x + -1 * 3cos * x = 0

Multiply -1 * 3
2cos2x + -3cos * x = 0

Multiply cos * x
2cos2x + -3cosx = 0

Reorder the terms:
-3cosx + 2cos2x = 0

Solving
-3cosx + 2cos2x = 0

Solving for variable 'c'.

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

Factor out the Greatest Common Factor (GCF), 'cosx'.
cosx(-3 + 2s) = 0

Subproblem 1

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