2cos^4(x)-cos^2(x)=0

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Solution for 2cos^4(x)-cos^2(x)=0 equation:


Simplifying
2cos4(x) + -1cos2(x) = 0

Multiply cos4 * x
2cos4x + -1cos2(x) = 0

Multiply cos2 * x
2cos4x + -1cos2x = 0

Reorder the terms:
-1cos2x + 2cos4x = 0

Solving
-1cos2x + 2cos4x = 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), 'cos2x'.
cos2x(-1 + 2s2) = 0

Subproblem 1

Set the factor 'cos2x' equal to zero and attempt to solve: Simplifying cos2x = 0 Solving cos2x = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cos2x = 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 + 2s2)' equal to zero and attempt to solve: Simplifying -1 + 2s2 = 0 Solving -1 + 2s2 = 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 + 2s2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2s2 = 0 + 1 2s2 = 0 + 1 Combine like terms: 0 + 1 = 1 2s2 = 1 Add '-2s2' to each side of the equation. 2s2 + -2s2 = 1 + -2s2 Combine like terms: 2s2 + -2s2 = 0 0 = 1 + -2s2 Simplifying 0 = 1 + -2s2 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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