Cos(8x)+cos(2x)+cos(3x)+cos(4x)=0

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Solution for Cos(8x)+cos(2x)+cos(3x)+cos(4x)=0 equation: 


Simplifying
Cos(8x) + cos(2x) + cos(3x) + cos(4x) = 0

Remove parenthesis around (8x)
osC * 8x + cos(2x) + cos(3x) + cos(4x) = 0

Reorder the terms for easier multiplication:
8osC * x + cos(2x) + cos(3x) + cos(4x) = 0

Multiply osC * x
8osxC + cos(2x) + cos(3x) + cos(4x) = 0

Remove parenthesis around (2x)
8osxC + cos * 2x + cos(3x) + cos(4x) = 0

Reorder the terms for easier multiplication:
8osxC + 2cos * x + cos(3x) + cos(4x) = 0

Multiply cos * x
8osxC + 2cosx + cos(3x) + cos(4x) = 0

Remove parenthesis around (3x)
8osxC + 2cosx + cos * 3x + cos(4x) = 0

Reorder the terms for easier multiplication:
8osxC + 2cosx + 3cos * x + cos(4x) = 0

Multiply cos * x
8osxC + 2cosx + 3cosx + cos(4x) = 0

Remove parenthesis around (4x)
8osxC + 2cosx + 3cosx + cos * 4x = 0

Reorder the terms for easier multiplication:
8osxC + 2cosx + 3cosx + 4cos * x = 0

Multiply cos * x
8osxC + 2cosx + 3cosx + 4cosx = 0

Reorder the terms:
2cosx + 3cosx + 4cosx + 8osxC = 0

Combine like terms: 2cosx + 3cosx = 5cosx
5cosx + 4cosx + 8osxC = 0

Combine like terms: 5cosx + 4cosx = 9cosx
9cosx + 8osxC = 0

Solving
9cosx + 8osxC = 0

Solving for variable 'c'.

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

Add '-8osxC' to each side of the equation.
9cosx + 8osxC + -8osxC = 0 + -8osxC

Combine like terms: 8osxC + -8osxC = 0
9cosx + 0 = 0 + -8osxC
9cosx = 0 + -8osxC
Remove the zero:
9cosx = -8osxC

Divide each side by '9osx'.
c = -0.8888888889C

Simplifying
c = -0.8888888889C

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