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Simplifying 8cos2(2x) + -2cos(2x) + -1 = 0 Remove parenthesis around (2x) 8cos2 * 2x + -2cos(2x) + -1 = 0 Reorder the terms for easier multiplication: 8 * 2cos2 * x + -2cos(2x) + -1 = 0 Multiply 8 * 2 16cos2 * x + -2cos(2x) + -1 = 0 Multiply cos2 * x 16cos2x + -2cos(2x) + -1 = 0 Remove parenthesis around (2x) 16cos2x + -2cos * 2x + -1 = 0 Reorder the terms for easier multiplication: 16cos2x + -2 * 2cos * x + -1 = 0 Multiply -2 * 2 16cos2x + -4cos * x + -1 = 0 Multiply cos * x 16cos2x + -4cosx + -1 = 0 Reorder the terms: -1 + -4cosx + 16cos2x = 0 Solving -1 + -4cosx + 16cos2x = 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 + -4cosx + 1 + 16cos2x = 0 + 1 Reorder the terms: -1 + 1 + -4cosx + 16cos2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4cosx + 16cos2x = 0 + 1 -4cosx + 16cos2x = 0 + 1 Combine like terms: 0 + 1 = 1 -4cosx + 16cos2x = 1 Reorder the terms: -1 + -4cosx + 16cos2x = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -4cosx + 16cos2x = 0 The solution to this equation could not be determined.
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