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Simplifying 6cos2(2x) + -5cos(2x) + 1 = 0 Remove parenthesis around (2x) 6cos2 * 2x + -5cos(2x) + 1 = 0 Reorder the terms for easier multiplication: 6 * 2cos2 * x + -5cos(2x) + 1 = 0 Multiply 6 * 2 12cos2 * x + -5cos(2x) + 1 = 0 Multiply cos2 * x 12cos2x + -5cos(2x) + 1 = 0 Remove parenthesis around (2x) 12cos2x + -5cos * 2x + 1 = 0 Reorder the terms for easier multiplication: 12cos2x + -5 * 2cos * x + 1 = 0 Multiply -5 * 2 12cos2x + -10cos * x + 1 = 0 Multiply cos * x 12cos2x + -10cosx + 1 = 0 Reorder the terms: 1 + -10cosx + 12cos2x = 0 Solving 1 + -10cosx + 12cos2x = 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 + -10cosx + -1 + 12cos2x = 0 + -1 Reorder the terms: 1 + -1 + -10cosx + 12cos2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -10cosx + 12cos2x = 0 + -1 -10cosx + 12cos2x = 0 + -1 Combine like terms: 0 + -1 = -1 -10cosx + 12cos2x = -1 Reorder the terms: 1 + -10cosx + 12cos2x = -1 + 1 Combine like terms: -1 + 1 = 0 1 + -10cosx + 12cos2x = 0 The solution to this equation could not be determined.
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