cos(2x)*cos(3x)=cos(5x)*cos(6x)

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Solution for cos(2x)*cos(3x)=cos(5x)*cos(6x) equation:


Simplifying
cos(2x) * cos(3x) = cos(5x) * cos(6x)

Remove parenthesis around (2x)
cos * 2x * cos(3x) = cos(5x) * cos(6x)

Remove parenthesis around (3x)
cos * 2x * cos * 3x = cos(5x) * cos(6x)

Reorder the terms for easier multiplication:
2 * 3cos * x * cos * x = cos(5x) * cos(6x)

Multiply 2 * 3
6cos * x * cos * x = cos(5x) * cos(6x)

Multiply cos * x
6cosx * cos * x = cos(5x) * cos(6x)

Multiply cosx * cos
6c2o2s2x * x = cos(5x) * cos(6x)

Multiply c2o2s2x * x
6c2o2s2x2 = cos(5x) * cos(6x)

Remove parenthesis around (5x)
6c2o2s2x2 = cos * 5x * cos(6x)

Remove parenthesis around (6x)
6c2o2s2x2 = cos * 5x * cos * 6x

Reorder the terms for easier multiplication:
6c2o2s2x2 = 5 * 6cos * x * cos * x

Multiply 5 * 6
6c2o2s2x2 = 30cos * x * cos * x

Multiply cos * x
6c2o2s2x2 = 30cosx * cos * x

Multiply cosx * cos
6c2o2s2x2 = 30c2o2s2x * x

Multiply c2o2s2x * x
6c2o2s2x2 = 30c2o2s2x2

Solving
6c2o2s2x2 = 30c2o2s2x2

Solving for variable 'c'.

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

Add '-30c2o2s2x2' to each side of the equation.
6c2o2s2x2 + -30c2o2s2x2 = 30c2o2s2x2 + -30c2o2s2x2

Combine like terms: 6c2o2s2x2 + -30c2o2s2x2 = -24c2o2s2x2
-24c2o2s2x2 = 30c2o2s2x2 + -30c2o2s2x2

Combine like terms: 30c2o2s2x2 + -30c2o2s2x2 = 0
-24c2o2s2x2 = 0

Divide each side by '-24'.
c2o2s2x2 = 0

Simplifying
c2o2s2x2 = 0

The solution to this equation could not be determined.

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