Cos*2*x+cos*3*x+cos*4*x+cos*5*x=0

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Solution for Cos*2*x+cos*3*x+cos*4*x+cos*5*x=0 equation:


Simplifying
Cos * 2x + cos * 3x + cos * 4x + cos * 5x = 0

Reorder the terms for easier multiplication:
2osC * x + cos * 3x + cos * 4x + cos * 5x = 0

Multiply osC * x
2osxC + cos * 3x + cos * 4x + cos * 5x = 0

Reorder the terms for easier multiplication:
2osxC + 3cos * x + cos * 4x + cos * 5x = 0

Multiply cos * x
2osxC + 3cosx + cos * 4x + cos * 5x = 0

Reorder the terms for easier multiplication:
2osxC + 3cosx + 4cos * x + cos * 5x = 0

Multiply cos * x
2osxC + 3cosx + 4cosx + cos * 5x = 0

Reorder the terms for easier multiplication:
2osxC + 3cosx + 4cosx + 5cos * x = 0

Multiply cos * x
2osxC + 3cosx + 4cosx + 5cosx = 0

Reorder the terms:
3cosx + 4cosx + 5cosx + 2osxC = 0

Combine like terms: 3cosx + 4cosx = 7cosx
7cosx + 5cosx + 2osxC = 0

Combine like terms: 7cosx + 5cosx = 12cosx
12cosx + 2osxC = 0

Solving
12cosx + 2osxC = 0

Solving for variable 'c'.

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

Add '-2osxC' to each side of the equation.
12cosx + 2osxC + -2osxC = 0 + -2osxC

Combine like terms: 2osxC + -2osxC = 0
12cosx + 0 = 0 + -2osxC
12cosx = 0 + -2osxC
Remove the zero:
12cosx = -2osxC

Divide each side by '12osx'.
c = -0.1666666667C

Simplifying
c = -0.1666666667C

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