cos^2x=4cosx

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Solution for cos^2x=4cosx equation:


Simplifying
cos2x = 4cosx

Solving
cos2x = 4cosx

Solving for variable 'c'.

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

Add '-4cosx' to each side of the equation.
-4cosx + cos2x = 4cosx + -4cosx

Combine like terms: 4cosx + -4cosx = 0
-4cosx + cos2x = 0

Factor out the Greatest Common Factor (GCF), 'cosx'.
cosx(-4 + s) = 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 '(-4 + s)' equal to zero and attempt to solve: Simplifying -4 + s = 0 Solving -4 + s = 0 Move all terms containing c to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + s = 0 + 4 Combine like terms: -4 + 4 = 0 0 + s = 0 + 4 s = 0 + 4 Combine like terms: 0 + 4 = 4 s = 4 Add '-1s' to each side of the equation. s + -1s = 4 + -1s Combine like terms: s + -1s = 0 0 = 4 + -1s Simplifying 0 = 4 + -1s 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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