cos(2x)*cos(x)=cos(2.5x)*cos(0.5x)

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Solution for cos(2x)*cos(x)=cos(2.5x)*cos(0.5x) equation:


Simplifying
cos(2x) * cos(x) = cos(2.5x) * cos(0.5x)

Remove parenthesis around (2x)
cos * 2x * cos(x) = cos(2.5x) * cos(0.5x)

Reorder the terms for easier multiplication:
2cos * x * cos * x = cos(2.5x) * cos(0.5x)

Multiply cos * x
2cosx * cos * x = cos(2.5x) * cos(0.5x)

Multiply cosx * cos
2c2o2s2x * x = cos(2.5x) * cos(0.5x)

Multiply c2o2s2x * x
2c2o2s2x2 = cos(2.5x) * cos(0.5x)

Remove parenthesis around (2.5x)
2c2o2s2x2 = cos * 2.5x * cos(0.5x)

Remove parenthesis around (0.5x)
2c2o2s2x2 = cos * 2.5x * cos * 0.5x

Reorder the terms for easier multiplication:
2c2o2s2x2 = 2.5 * 0.5cos * x * cos * x

Multiply 2.5 * 0.5
2c2o2s2x2 = 1.25cos * x * cos * x

Multiply cos * x
2c2o2s2x2 = 1.25cosx * cos * x

Multiply cosx * cos
2c2o2s2x2 = 1.25c2o2s2x * x

Multiply c2o2s2x * x
2c2o2s2x2 = 1.25c2o2s2x2

Solving
2c2o2s2x2 = 1.25c2o2s2x2

Solving for variable 'c'.

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

Add '-1.25c2o2s2x2' to each side of the equation.
2c2o2s2x2 + -1.25c2o2s2x2 = 1.25c2o2s2x2 + -1.25c2o2s2x2

Combine like terms: 2c2o2s2x2 + -1.25c2o2s2x2 = 0.75c2o2s2x2
0.75c2o2s2x2 = 1.25c2o2s2x2 + -1.25c2o2s2x2

Combine like terms: 1.25c2o2s2x2 + -1.25c2o2s2x2 = 0.00
0.75c2o2s2x2 = 0.00

Divide each side by '0.75'.
c2o2s2x2 = 0

Simplifying
c2o2s2x2 = 0

The solution to this equation could not be determined.

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