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Simplifying cos(x) + cos(3x) + -1cos(5x) + -1cos(7x) = 0 Multiply cos * x cosx + cos(3x) + -1cos(5x) + -1cos(7x) = 0 Remove parenthesis around (3x) cosx + cos * 3x + -1cos(5x) + -1cos(7x) = 0 Reorder the terms for easier multiplication: cosx + 3cos * x + -1cos(5x) + -1cos(7x) = 0 Multiply cos * x cosx + 3cosx + -1cos(5x) + -1cos(7x) = 0 Remove parenthesis around (5x) cosx + 3cosx + -1cos * 5x + -1cos(7x) = 0 Reorder the terms for easier multiplication: cosx + 3cosx + -1 * 5cos * x + -1cos(7x) = 0 Multiply -1 * 5 cosx + 3cosx + -5cos * x + -1cos(7x) = 0 Multiply cos * x cosx + 3cosx + -5cosx + -1cos(7x) = 0 Remove parenthesis around (7x) cosx + 3cosx + -5cosx + -1cos * 7x = 0 Reorder the terms for easier multiplication: cosx + 3cosx + -5cosx + -1 * 7cos * x = 0 Multiply -1 * 7 cosx + 3cosx + -5cosx + -7cos * x = 0 Multiply cos * x cosx + 3cosx + -5cosx + -7cosx = 0 Combine like terms: cosx + 3cosx = 4cosx 4cosx + -5cosx + -7cosx = 0 Combine like terms: 4cosx + -5cosx = -1cosx -1cosx + -7cosx = 0 Combine like terms: -1cosx + -7cosx = -8cosx -8cosx = 0 Solving -8cosx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Divide each side by '-8'. cosx = 0 Simplifying cosx = 0 The solution to this equation could not be determined.
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