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Simplifying Cosx + cos(2x) + cos(3x) + cos(4x) = 0 Remove parenthesis around (2x) osxC + cos * 2x + cos(3x) + cos(4x) = 0 Reorder the terms for easier multiplication: osxC + 2cos * x + cos(3x) + cos(4x) = 0 Multiply cos * x osxC + 2cosx + cos(3x) + cos(4x) = 0 Remove parenthesis around (3x) osxC + 2cosx + cos * 3x + cos(4x) = 0 Reorder the terms for easier multiplication: osxC + 2cosx + 3cos * x + cos(4x) = 0 Multiply cos * x osxC + 2cosx + 3cosx + cos(4x) = 0 Remove parenthesis around (4x) osxC + 2cosx + 3cosx + cos * 4x = 0 Reorder the terms for easier multiplication: osxC + 2cosx + 3cosx + 4cos * x = 0 Multiply cos * x osxC + 2cosx + 3cosx + 4cosx = 0 Reorder the terms: 2cosx + 3cosx + 4cosx + osxC = 0 Combine like terms: 2cosx + 3cosx = 5cosx 5cosx + 4cosx + osxC = 0 Combine like terms: 5cosx + 4cosx = 9cosx 9cosx + osxC = 0 Solving 9cosx + osxC = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1osxC' to each side of the equation. 9cosx + osxC + -1osxC = 0 + -1osxC Combine like terms: osxC + -1osxC = 0 9cosx + 0 = 0 + -1osxC 9cosx = 0 + -1osxC Remove the zero: 9cosx = -1osxC Divide each side by '9osx'. c = -0.1111111111C Simplifying c = -0.1111111111C
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