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

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


Simplifying
Cos(x) + -1cos(2x) + cos(3x) + -1cos(4x) = 0

Multiply osC * x
osxC + -1cos(2x) + cos(3x) + -1cos(4x) = 0

Remove parenthesis around (2x)
osxC + -1cos * 2x + cos(3x) + -1cos(4x) = 0

Reorder the terms for easier multiplication:
osxC + -1 * 2cos * x + cos(3x) + -1cos(4x) = 0

Multiply -1 * 2
osxC + -2cos * x + cos(3x) + -1cos(4x) = 0

Multiply cos * x
osxC + -2cosx + cos(3x) + -1cos(4x) = 0

Remove parenthesis around (3x)
osxC + -2cosx + cos * 3x + -1cos(4x) = 0

Reorder the terms for easier multiplication:
osxC + -2cosx + 3cos * x + -1cos(4x) = 0

Multiply cos * x
osxC + -2cosx + 3cosx + -1cos(4x) = 0

Remove parenthesis around (4x)
osxC + -2cosx + 3cosx + -1cos * 4x = 0

Reorder the terms for easier multiplication:
osxC + -2cosx + 3cosx + -1 * 4cos * x = 0

Multiply -1 * 4
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 = 1cosx
1cosx + -4cosx + osxC = 0

Combine like terms: 1cosx + -4cosx = -3cosx
-3cosx + osxC = 0

Solving
-3cosx + 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.
-3cosx + osxC + -1osxC = 0 + -1osxC

Combine like terms: osxC + -1osxC = 0
-3cosx + 0 = 0 + -1osxC
-3cosx = 0 + -1osxC
Remove the zero:
-3cosx = -1osxC

Divide each side by '-3osx'.
c = 0.3333333333C

Simplifying
c = 0.3333333333C

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