5cos^2x=12cosx

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Solution for 5cos^2x=12cosx equation:


Simplifying
5cos2x = 12cosx

Solving
5cos2x = 12cosx

Solving for variable 'c'.

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

Add '-12cosx' to each side of the equation.
-12cosx + 5cos2x = 12cosx + -12cosx

Combine like terms: 12cosx + -12cosx = 0
-12cosx + 5cos2x = 0

Factor out the Greatest Common Factor (GCF), 'cosx'.
cosx(-12 + 5s) = 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 '(-12 + 5s)' equal to zero and attempt to solve: Simplifying -12 + 5s = 0 Solving -12 + 5s = 0 Move all terms containing c to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 5s = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 5s = 0 + 12 5s = 0 + 12 Combine like terms: 0 + 12 = 12 5s = 12 Add '-5s' to each side of the equation. 5s + -5s = 12 + -5s Combine like terms: 5s + -5s = 0 0 = 12 + -5s Simplifying 0 = 12 + -5s 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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