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Simplifying 2cos2x + -3cosx = o Reorder the terms: -3cosx + 2cos2x = o Solving -3cosx + 2cos2x = o Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Combine like terms: o + -1o = 0 -3cosx + 2cos2x + -1o = 0 Factor out the Greatest Common Factor (GCF), 'o'. o(-3csx + 2cs2x + -1) = 0Subproblem 1
Set the factor 'o' equal to zero and attempt to solve: Simplifying o = 0 Solving o = 0 Move all terms containing c to the left, all other terms to the right. Add '-1o' to each side of the equation. o + -1o = 0 + -1o Remove the zero: 0 = -1o Simplifying 0 = -1o 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 '(-3csx + 2cs2x + -1)' equal to zero and attempt to solve: Simplifying -3csx + 2cs2x + -1 = 0 Reorder the terms: -1 + -3csx + 2cs2x = 0 Solving -1 + -3csx + 2cs2x = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -3csx + 1 + 2cs2x = 0 + 1 Reorder the terms: -1 + 1 + -3csx + 2cs2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3csx + 2cs2x = 0 + 1 -3csx + 2cs2x = 0 + 1 Combine like terms: 0 + 1 = 1 -3csx + 2cs2x = 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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