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Simplifying cos(5x) + cos(2x) + cos(x) + cos(4x) = 0 Remove parenthesis around (5x) cos * 5x + cos(2x) + cos(x) + cos(4x) = 0 Reorder the terms for easier multiplication: 5cos * x + cos(2x) + cos(x) + cos(4x) = 0 Multiply cos * x 5cosx + cos(2x) + cos(x) + cos(4x) = 0 Remove parenthesis around (2x) 5cosx + cos * 2x + cos(x) + cos(4x) = 0 Reorder the terms for easier multiplication: 5cosx + 2cos * x + cos(x) + cos(4x) = 0 Multiply cos * x 5cosx + 2cosx + cos(x) + cos(4x) = 0 Multiply cos * x 5cosx + 2cosx + cosx + cos(4x) = 0 Remove parenthesis around (4x) 5cosx + 2cosx + cosx + cos * 4x = 0 Reorder the terms for easier multiplication: 5cosx + 2cosx + cosx + 4cos * x = 0 Multiply cos * x 5cosx + 2cosx + cosx + 4cosx = 0 Combine like terms: 5cosx + 2cosx = 7cosx 7cosx + cosx + 4cosx = 0 Combine like terms: 7cosx + cosx = 8cosx 8cosx + 4cosx = 0 Combine like terms: 8cosx + 4cosx = 12cosx 12cosx = 0 Solving 12cosx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Divide each side by '12'. cosx = 0 Simplifying cosx = 0 The solution to this equation could not be determined.
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