cos(8x)+Cos(6x)=2cos(210)Cos(x)

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Solution for cos(8x)+Cos(6x)=2cos(210)Cos(x) equation: 


Simplifying
cos(8x) + Cos(6x) = 2cos(210) * Cos(x)

Remove parenthesis around (8x)
cos * 8x + Cos(6x) = 2cos(210) * Cos(x)

Reorder the terms for easier multiplication:
8cos * x + Cos(6x) = 2cos(210) * Cos(x)

Multiply cos * x
8cosx + Cos(6x) = 2cos(210) * Cos(x)

Remove parenthesis around (6x)
8cosx + osC * 6x = 2cos(210) * Cos(x)

Reorder the terms for easier multiplication:
8cosx + 6osC * x = 2cos(210) * Cos(x)

Multiply osC * x
8cosx + 6osxC = 2cos(210) * Cos(x)

Reorder the terms for easier multiplication:
8cosx + 6osxC = 2 * 210cos * osC * x

Multiply 2 * 210
8cosx + 6osxC = 420cos * osC * x

Multiply cos * osC
8cosx + 6osxC = 420co2s2C * x

Multiply co2s2C * x
8cosx + 6osxC = 420co2s2xC

Solving
8cosx + 6osxC = 420co2s2xC

Solving for variable 'c'.

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

Add '-420co2s2xC' to each side of the equation.
8cosx + -420co2s2xC + 6osxC = 420co2s2xC + -420co2s2xC

Combine like terms: 420co2s2xC + -420co2s2xC = 0
8cosx + -420co2s2xC + 6osxC = 0

Add '-6osxC' to each side of the equation.
8cosx + -420co2s2xC + 6osxC + -6osxC = 0 + -6osxC

Combine like terms: 6osxC + -6osxC = 0
8cosx + -420co2s2xC + 0 = 0 + -6osxC
8cosx + -420co2s2xC = 0 + -6osxC
Remove the zero:
8cosx + -420co2s2xC = -6osxC

Combine like terms: -6osxC + 6osxC = 0
8cosx + -420co2s2xC + 6osxC = 0

Factor out the Greatest Common Factor (GCF), '2osx'.
2osx(4c + -210cosC + 3C) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'osx' equal to zero and attempt to solve:

Simplifying
osx = 0

Solving
osx = 0

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

Add '-1osx' to each side of the equation.
osx + -1osx = 0 + -1osx
Remove the zero:
0 = -1osx

Simplifying
0 = -1osx

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(4c + -210cosC + 3C)' equal to zero and attempt to solve:

Simplifying
4c + -210cosC + 3C = 0

Reorder the terms:
3C + 4c + -210cosC = 0

Solving
3C + 4c + -210cosC = 0

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

Add '-3C' to each side of the equation.
3C + 4c + -3C + -210cosC = 0 + -3C

Reorder the terms:
3C + -3C + 4c + -210cosC = 0 + -3C

Combine like terms: 3C + -3C = 0
0 + 4c + -210cosC = 0 + -3C
4c + -210cosC = 0 + -3C
Remove the zero:
4c + -210cosC = -3C

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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