cos(2x)cos(3x)=cos(x)cos(4x)

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Solution for cos(2x)cos(3x)=cos(x)cos(4x) equation:


Simplifying
cos(2x) * cos(3x) = cos(x) * cos(4x)

Remove parenthesis around (2x)
cos * 2x * cos(3x) = cos(x) * cos(4x)

Remove parenthesis around (3x)
cos * 2x * cos * 3x = cos(x) * cos(4x)

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

Multiply 2 * 3
6cos * x * cos * x = cos(x) * cos(4x)

Multiply cos * x
6cosx * cos * x = cos(x) * cos(4x)

Multiply cosx * cos
6c2o2s2x * x = cos(x) * cos(4x)

Multiply c2o2s2x * x
6c2o2s2x2 = cos(x) * cos(4x)

Remove parenthesis around (4x)
6c2o2s2x2 = cos * x * cos * 4x

Reorder the terms for easier multiplication:
6c2o2s2x2 = 4cos * x * cos * x

Multiply cos * x
6c2o2s2x2 = 4cosx * cos * x

Multiply cosx * cos
6c2o2s2x2 = 4c2o2s2x * x

Multiply c2o2s2x * x
6c2o2s2x2 = 4c2o2s2x2

Solving
6c2o2s2x2 = 4c2o2s2x2

Solving for variable 'c'.

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

Add '-4c2o2s2x2' to each side of the equation.
6c2o2s2x2 + -4c2o2s2x2 = 4c2o2s2x2 + -4c2o2s2x2

Combine like terms: 6c2o2s2x2 + -4c2o2s2x2 = 2c2o2s2x2
2c2o2s2x2 = 4c2o2s2x2 + -4c2o2s2x2

Combine like terms: 4c2o2s2x2 + -4c2o2s2x2 = 0
2c2o2s2x2 = 0

Divide each side by '2'.
c2o2s2x2 = 0

Simplifying
c2o2s2x2 = 0

The solution to this equation could not be determined.

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