cos(3x)*cos(6x)=cos(4x)*cos(7x)

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Solution for cos(3x)*cos(6x)=cos(4x)*cos(7x) equation:


Simplifying
cos(3x) * cos(6x) = cos(4x) * cos(7x)

Remove parenthesis around (3x)
cos * 3x * cos(6x) = cos(4x) * cos(7x)

Remove parenthesis around (6x)
cos * 3x * cos * 6x = cos(4x) * cos(7x)

Reorder the terms for easier multiplication:
3 * 6cos * x * cos * x = cos(4x) * cos(7x)

Multiply 3 * 6
18cos * x * cos * x = cos(4x) * cos(7x)

Multiply cos * x
18cosx * cos * x = cos(4x) * cos(7x)

Multiply cosx * cos
18c2o2s2x * x = cos(4x) * cos(7x)

Multiply c2o2s2x * x
18c2o2s2x2 = cos(4x) * cos(7x)

Remove parenthesis around (4x)
18c2o2s2x2 = cos * 4x * cos(7x)

Remove parenthesis around (7x)
18c2o2s2x2 = cos * 4x * cos * 7x

Reorder the terms for easier multiplication:
18c2o2s2x2 = 4 * 7cos * x * cos * x

Multiply 4 * 7
18c2o2s2x2 = 28cos * x * cos * x

Multiply cos * x
18c2o2s2x2 = 28cosx * cos * x

Multiply cosx * cos
18c2o2s2x2 = 28c2o2s2x * x

Multiply c2o2s2x * x
18c2o2s2x2 = 28c2o2s2x2

Solving
18c2o2s2x2 = 28c2o2s2x2

Solving for variable 'c'.

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

Add '-28c2o2s2x2' to each side of the equation.
18c2o2s2x2 + -28c2o2s2x2 = 28c2o2s2x2 + -28c2o2s2x2

Combine like terms: 18c2o2s2x2 + -28c2o2s2x2 = -10c2o2s2x2
-10c2o2s2x2 = 28c2o2s2x2 + -28c2o2s2x2

Combine like terms: 28c2o2s2x2 + -28c2o2s2x2 = 0
-10c2o2s2x2 = 0

Divide each side by '-10'.
c2o2s2x2 = 0.0

Simplifying
c2o2s2x2 = 0.0

The solution to this equation could not be determined.

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