cos(2x)+cos(5x)+cos(x)=0

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Solution for cos(2x)+cos(5x)+cos(x)=0 equation:


Simplifying
cos(2x) + cos(5x) + cos(x) = 0

Remove parenthesis around (2x)
cos * 2x + cos(5x) + cos(x) = 0

Reorder the terms for easier multiplication:
2cos * x + cos(5x) + cos(x) = 0

Multiply cos * x
2cosx + cos(5x) + cos(x) = 0

Remove parenthesis around (5x)
2cosx + cos * 5x + cos(x) = 0

Reorder the terms for easier multiplication:
2cosx + 5cos * x + cos(x) = 0

Multiply cos * x
2cosx + 5cosx + cos(x) = 0

Multiply cos * x
2cosx + 5cosx + cosx = 0

Combine like terms: 2cosx + 5cosx = 7cosx
7cosx + cosx = 0

Combine like terms: 7cosx + cosx = 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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