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Simplifying cos(4x) = 2cos(2x) + -1 Remove parenthesis around (4x) cos * 4x = 2cos(2x) + -1 Reorder the terms for easier multiplication: 4cos * x = 2cos(2x) + -1 Multiply cos * x 4cosx = 2cos(2x) + -1 Remove parenthesis around (2x) 4cosx = 2cos * 2x + -1 Reorder the terms for easier multiplication: 4cosx = 2 * 2cos * x + -1 Multiply 2 * 2 4cosx = 4cos * x + -1 Multiply cos * x 4cosx = 4cosx + -1 Reorder the terms: 4cosx = -1 + 4cosx Add '-4cosx' to each side of the equation. 4cosx + -4cosx = -1 + 4cosx + -4cosx Combine like terms: 4cosx + -4cosx = 0 0 = -1 + 4cosx + -4cosx Combine like terms: 4cosx + -4cosx = 0 0 = -1 + 0 0 = -1 Solving 0 = -1 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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