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Simplifying cos(x) + cos(2x) + -1cos(3x) + -1 = 0 Multiply cos * x cosx + cos(2x) + -1cos(3x) + -1 = 0 Remove parenthesis around (2x) cosx + cos * 2x + -1cos(3x) + -1 = 0 Reorder the terms for easier multiplication: cosx + 2cos * x + -1cos(3x) + -1 = 0 Multiply cos * x cosx + 2cosx + -1cos(3x) + -1 = 0 Remove parenthesis around (3x) cosx + 2cosx + -1cos * 3x + -1 = 0 Reorder the terms for easier multiplication: cosx + 2cosx + -1 * 3cos * x + -1 = 0 Multiply -1 * 3 cosx + 2cosx + -3cos * x + -1 = 0 Multiply cos * x cosx + 2cosx + -3cosx + -1 = 0 Reorder the terms: -1 + cosx + 2cosx + -3cosx = 0 Combine like terms: cosx + 2cosx = 3cosx -1 + 3cosx + -3cosx = 0 Combine like terms: 3cosx + -3cosx = 0 -1 + 0 = 0 -1 = 0 Solving -1 = 0 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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