4(cos^3)x-cosx=0

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Solution for 4(cos^3)x-cosx=0 equation:


Simplifying
4(cos3) * x + -1cosx = 0

Multiply cos3 * x
4cos3x + -1cosx = 0

Reorder the terms:
-1cosx + 4cos3x = 0

Solving
-1cosx + 4cos3x = 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(-1 + 4s2) = 0

Factor a difference between two squares.
cosx((1 + 2s)(-1 + 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 '(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.

Subproblem 3

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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