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Simplifying 5cos2x + -10cosx + 5 = 0 Reorder the terms: 5 + -10cosx + 5cos2x = 0 Solving 5 + -10cosx + 5cos2x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -10cosx + -5 + 5cos2x = 0 + -5 Reorder the terms: 5 + -5 + -10cosx + 5cos2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -10cosx + 5cos2x = 0 + -5 -10cosx + 5cos2x = 0 + -5 Combine like terms: 0 + -5 = -5 -10cosx + 5cos2x = -5 Reorder the terms: 5 + -10cosx + 5cos2x = -5 + 5 Combine like terms: -5 + 5 = 0 5 + -10cosx + 5cos2x = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(1 + -2cosx + cos2x) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + -2cosx + cos2x)' equal to zero and attempt to solve: Simplifying 1 + -2cosx + cos2x = 0 Solving 1 + -2cosx + cos2x = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2cosx + -1 + cos2x = 0 + -1 Reorder the terms: 1 + -1 + -2cosx + cos2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2cosx + cos2x = 0 + -1 -2cosx + cos2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2cosx + cos2x = -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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