cos^3x=2cosx

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Solution for cos^3x=2cosx equation:


Simplifying
cos3x = 2cosx

Solving
cos3x = 2cosx

Solving for variable 'c'.

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

Add '-2cosx' to each side of the equation.
-2cosx + cos3x = 2cosx + -2cosx

Combine like terms: 2cosx + -2cosx = 0
-2cosx + cos3x = 0

Factor out the Greatest Common Factor (GCF), 'cosx'.
cosx(-2 + s2) = 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 '(-2 + s2)' equal to zero and attempt to solve: Simplifying -2 + s2 = 0 Solving -2 + s2 = 0 Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + s2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + s2 = 0 + 2 s2 = 0 + 2 Combine like terms: 0 + 2 = 2 s2 = 2 Add '-1s2' to each side of the equation. s2 + -1s2 = 2 + -1s2 Combine like terms: s2 + -1s2 = 0 0 = 2 + -1s2 Simplifying 0 = 2 + -1s2 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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