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Simplifying 2cos2x = 3cosx Solving 2cos2x = 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 + 2cos2x = 3cosx + -3cosx Combine like terms: 3cosx + -3cosx = 0 -3cosx + 2cos2x = 0 Factor out the Greatest Common Factor (GCF), 'cosx'. cosx(-3 + 2s) = 0Subproblem 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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