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

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


Simplifying
cos2(3x) + cos(3x) = 0

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

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

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

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

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

Multiply cos * x
3cos2x + 3cosx = 0

Reorder the terms:
3cosx + 3cos2x = 0

Solving
3cosx + 3cos2x = 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), '3cosx'.
3cosx(1 + s) = 0

Ignore the factor 3.

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 '(1 + s)' equal to zero and attempt to solve: Simplifying 1 + s = 0 Solving 1 + s = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + s = 0 + -1 s = 0 + -1 Combine like terms: 0 + -1 = -1 s = -1 Add '-1s' to each side of the equation. s + -1s = -1 + -1s Combine like terms: s + -1s = 0 0 = -1 + -1s Simplifying 0 = -1 + -1s 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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