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Simplifying 0 = cos2x + -5cosx + 1 Reorder the terms: 0 = 1 + -5cosx + cos2x Solving 0 = 1 + -5cosx + cos2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5cosx' to each side of the equation. 0 + 5cosx = 1 + -5cosx + 5cosx + cos2x Remove the zero: 5cosx = 1 + -5cosx + 5cosx + cos2x Combine like terms: -5cosx + 5cosx = 0 5cosx = 1 + 0 + cos2x 5cosx = 1 + cos2x Add '-1cos2x' to each side of the equation. 5cosx + -1cos2x = 1 + cos2x + -1cos2x Combine like terms: cos2x + -1cos2x = 0 5cosx + -1cos2x = 1 + 0 5cosx + -1cos2x = 1 Reorder the terms: -1 + 5cosx + -1cos2x = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 5cosx + -1cos2x = 0 The solution to this equation could not be determined.
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