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Simplifying 2cos2(4x) + 3cos(4x) + 1 = 0 Remove parenthesis around (4x) 2cos2 * 4x + 3cos(4x) + 1 = 0 Reorder the terms for easier multiplication: 2 * 4cos2 * x + 3cos(4x) + 1 = 0 Multiply 2 * 4 8cos2 * x + 3cos(4x) + 1 = 0 Multiply cos2 * x 8cos2x + 3cos(4x) + 1 = 0 Remove parenthesis around (4x) 8cos2x + 3cos * 4x + 1 = 0 Reorder the terms for easier multiplication: 8cos2x + 3 * 4cos * x + 1 = 0 Multiply 3 * 4 8cos2x + 12cos * x + 1 = 0 Multiply cos * x 8cos2x + 12cosx + 1 = 0 Reorder the terms: 1 + 12cosx + 8cos2x = 0 Solving 1 + 12cosx + 8cos2x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 12cosx + -1 + 8cos2x = 0 + -1 Reorder the terms: 1 + -1 + 12cosx + 8cos2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 12cosx + 8cos2x = 0 + -1 12cosx + 8cos2x = 0 + -1 Combine like terms: 0 + -1 = -1 12cosx + 8cos2x = -1 Reorder the terms: 1 + 12cosx + 8cos2x = -1 + 1 Combine like terms: -1 + 1 = 0 1 + 12cosx + 8cos2x = 0 The solution to this equation could not be determined.
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