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Simplifying 3cos2x = 2cosx Solving 3cos2x = 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 + 3cos2x = 2cosx + -2cosx Combine like terms: 2cosx + -2cosx = 0 -2cosx + 3cos2x = 0 Factor out the Greatest Common Factor (GCF), 'cosx'. cosx(-2 + 3s) = 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 '(-2 + 3s)' equal to zero and attempt to solve: Simplifying -2 + 3s = 0 Solving -2 + 3s = 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 + 3s = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3s = 0 + 2 3s = 0 + 2 Combine like terms: 0 + 2 = 2 3s = 2 Add '-3s' to each side of the equation. 3s + -3s = 2 + -3s Combine like terms: 3s + -3s = 0 0 = 2 + -3s Simplifying 0 = 2 + -3s 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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