4cos^3x=3cosx

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Solution for 4cos^3x=3cosx equation:


Simplifying
4cos3x = 3cosx

Solving
4cos3x = 3cosx

Solving for variable 'c'.

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

Add '-3cosx' to each side of the equation.
-3cosx + 4cos3x = 3cosx + -3cosx

Combine like terms: 3cosx + -3cosx = 0
-3cosx + 4cos3x = 0

Factor out the Greatest Common Factor (GCF), 'cosx'.
cosx(-3 + 4s2) = 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 + 4s2)' equal to zero and attempt to solve: Simplifying -3 + 4s2 = 0 Solving -3 + 4s2 = 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 + 4s2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4s2 = 0 + 3 4s2 = 0 + 3 Combine like terms: 0 + 3 = 3 4s2 = 3 Add '-4s2' to each side of the equation. 4s2 + -4s2 = 3 + -4s2 Combine like terms: 4s2 + -4s2 = 0 0 = 3 + -4s2 Simplifying 0 = 3 + -4s2 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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