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Simplifying 6cos2x + -3cosx + -3 = 0 Reorder the terms: -3 + -3cosx + 6cos2x = 0 Solving -3 + -3cosx + 6cos2x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -3cosx + 3 + 6cos2x = 0 + 3 Reorder the terms: -3 + 3 + -3cosx + 6cos2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -3cosx + 6cos2x = 0 + 3 -3cosx + 6cos2x = 0 + 3 Combine like terms: 0 + 3 = 3 -3cosx + 6cos2x = 3 Reorder the terms: -3 + -3cosx + 6cos2x = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + -3cosx + 6cos2x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + -1cosx + 2cos2x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -1cosx + 2cos2x)' equal to zero and attempt to solve: Simplifying -1 + -1cosx + 2cos2x = 0 Solving -1 + -1cosx + 2cos2x = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1cosx + 1 + 2cos2x = 0 + 1 Reorder the terms: -1 + 1 + -1cosx + 2cos2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1cosx + 2cos2x = 0 + 1 -1cosx + 2cos2x = 0 + 1 Combine like terms: 0 + 1 = 1 -1cosx + 2cos2x = 1 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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