cos(3*x)+cos(5*x)+cos(9*x)=cos(7*x)

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Solution for cos(3*x)+cos(5*x)+cos(9*x)=cos(7*x) equation:


Simplifying
cos(3x) + cos(5x) + cos(9x) = cos(7x)

Remove parenthesis around (3x)
cos * 3x + cos(5x) + cos(9x) = cos(7x)

Reorder the terms for easier multiplication:
3cos * x + cos(5x) + cos(9x) = cos(7x)

Multiply cos * x
3cosx + cos(5x) + cos(9x) = cos(7x)

Remove parenthesis around (5x)
3cosx + cos * 5x + cos(9x) = cos(7x)

Reorder the terms for easier multiplication:
3cosx + 5cos * x + cos(9x) = cos(7x)

Multiply cos * x
3cosx + 5cosx + cos(9x) = cos(7x)

Remove parenthesis around (9x)
3cosx + 5cosx + cos * 9x = cos(7x)

Reorder the terms for easier multiplication:
3cosx + 5cosx + 9cos * x = cos(7x)

Multiply cos * x
3cosx + 5cosx + 9cosx = cos(7x)

Combine like terms: 3cosx + 5cosx = 8cosx
8cosx + 9cosx = cos(7x)

Combine like terms: 8cosx + 9cosx = 17cosx
17cosx = cos(7x)

Remove parenthesis around (7x)
17cosx = cos * 7x

Reorder the terms for easier multiplication:
17cosx = 7cos * x

Multiply cos * x
17cosx = 7cosx

Solving
17cosx = 7cosx

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-7cosx' to each side of the equation.
17cosx + -7cosx = 7cosx + -7cosx

Combine like terms: 17cosx + -7cosx = 10cosx
10cosx = 7cosx + -7cosx

Combine like terms: 7cosx + -7cosx = 0
10cosx = 0

Divide each side by '10'.
cosx = 0.0

Simplifying
cosx = 0.0

The solution to this equation could not be determined.

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