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

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


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

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

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

Multiply 2 * 2
4cos2 * x + -1cos(2x) = 0

Multiply cos2 * x
4cos2x + -1cos(2x) = 0

Remove parenthesis around (2x)
4cos2x + -1cos * 2x = 0

Reorder the terms for easier multiplication:
4cos2x + -1 * 2cos * x = 0

Multiply -1 * 2
4cos2x + -2cos * x = 0

Multiply cos * x
4cos2x + -2cosx = 0

Reorder the terms:
-2cosx + 4cos2x = 0

Solving
-2cosx + 4cos2x = 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), '2cosx'.
2cosx(-1 + 2s) = 0

Ignore the factor 2.

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 + 2s)' equal to zero and attempt to solve: Simplifying -1 + 2s = 0 Solving -1 + 2s = 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 + 2s = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2s = 0 + 1 2s = 0 + 1 Combine like terms: 0 + 1 = 1 2s = 1 Add '-2s' to each side of the equation. 2s + -2s = 1 + -2s Combine like terms: 2s + -2s = 0 0 = 1 + -2s Simplifying 0 = 1 + -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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