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Simplifying 12cos3x + -12cos2x + 3cosx = 0 Reorder the terms: 3cosx + -12cos2x + 12cos3x = 0 Solving 3cosx + -12cos2x + 12cos3x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3cosx'. 3cosx(1 + -4s + 4s2) = 0 Factor a trinomial. 3cosx((1 + -2s)(1 + -2s)) = 0 Ignore the factor 3.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 '(1 + -2s)' equal to zero and attempt to solve: Simplifying 1 + -2s = 0 Solving 1 + -2s = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2s = 0 + -1 -2s = 0 + -1 Combine like terms: 0 + -1 = -1 -2s = -1 Add '2s' to each side of the equation. -2s + 2s = -1 + 2s Combine like terms: -2s + 2s = 0 0 = -1 + 2s Simplifying 0 = -1 + 2s The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + -2s)' equal to zero and attempt to solve: Simplifying 1 + -2s = 0 Solving 1 + -2s = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2s = 0 + -1 -2s = 0 + -1 Combine like terms: 0 + -1 = -1 -2s = -1 Add '2s' to each side of the equation. -2s + 2s = -1 + 2s Combine like terms: -2s + 2s = 0 0 = -1 + 2s Simplifying 0 = -1 + 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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