3cosx=2cos^2x

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Solution for 3cosx=2cos^2x equation:


Simplifying
3cosx = 2cos2x

Solving
3cosx = 2cos2x

Solving for variable 'c'.

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

Add '-2cos2x' to each side of the equation.
3cosx + -2cos2x = 2cos2x + -2cos2x

Combine like terms: 2cos2x + -2cos2x = 0
3cosx + -2cos2x = 0

Factor out the Greatest Common Factor (GCF), 'cosx'.
cosx(3 + -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 '(3 + -2s)' equal to zero and attempt to solve: Simplifying 3 + -2s = 0 Solving 3 + -2s = 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 + -2s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2s = 0 + -3 -2s = 0 + -3 Combine like terms: 0 + -3 = -3 -2s = -3 Add '2s' to each side of the equation. -2s + 2s = -3 + 2s Combine like terms: -2s + 2s = 0 0 = -3 + 2s Simplifying 0 = -3 + 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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