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Simplifying cos(x) + cos(7x) + -1cos(4x) + -1cos(4x) = 0 Multiply cos * x cosx + cos(7x) + -1cos(4x) + -1cos(4x) = 0 Remove parenthesis around (7x) cosx + cos * 7x + -1cos(4x) + -1cos(4x) = 0 Reorder the terms for easier multiplication: cosx + 7cos * x + -1cos(4x) + -1cos(4x) = 0 Multiply cos * x cosx + 7cosx + -1cos(4x) + -1cos(4x) = 0 Remove parenthesis around (4x) cosx + 7cosx + -1cos * 4x + -1cos(4x) = 0 Reorder the terms for easier multiplication: cosx + 7cosx + -1 * 4cos * x + -1cos(4x) = 0 Multiply -1 * 4 cosx + 7cosx + -4cos * x + -1cos(4x) = 0 Multiply cos * x cosx + 7cosx + -4cosx + -1cos(4x) = 0 Remove parenthesis around (4x) cosx + 7cosx + -4cosx + -1cos * 4x = 0 Reorder the terms for easier multiplication: cosx + 7cosx + -4cosx + -1 * 4cos * x = 0 Multiply -1 * 4 cosx + 7cosx + -4cosx + -4cos * x = 0 Multiply cos * x cosx + 7cosx + -4cosx + -4cosx = 0 Combine like terms: cosx + 7cosx = 8cosx 8cosx + -4cosx + -4cosx = 0 Combine like terms: 8cosx + -4cosx = 4cosx 4cosx + -4cosx = 0 Combine like terms: 4cosx + -4cosx = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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