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

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


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

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

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

Multiply osC * x
2osxC * cos * x = cos(3x) * cos(4x)

Multiply osxC * cos
2co2s2xC * x = cos(3x) * cos(4x)

Multiply co2s2xC * x
2co2s2x2C = cos(3x) * cos(4x)

Remove parenthesis around (3x)
2co2s2x2C = cos * 3x * cos(4x)

Remove parenthesis around (4x)
2co2s2x2C = cos * 3x * cos * 4x

Reorder the terms for easier multiplication:
2co2s2x2C = 3 * 4cos * x * cos * x

Multiply 3 * 4
2co2s2x2C = 12cos * x * cos * x

Multiply cos * x
2co2s2x2C = 12cosx * cos * x

Multiply cosx * cos
2co2s2x2C = 12c2o2s2x * x

Multiply c2o2s2x * x
2co2s2x2C = 12c2o2s2x2

Solving
2co2s2x2C = 12c2o2s2x2

Solving for variable 'c'.

Combine like terms: 12c2o2s2x2 + -12c2o2s2x2 = 0
2co2s2x2C + -12c2o2s2x2 = 0

Factor out the Greatest Common Factor (GCF), '2co2s2x2'.
2co2s2x2(C + -6c) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'co2s2x2' equal to zero and attempt to solve:

Simplifying
co2s2x2 = 0

Solving
co2s2x2 = 0

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

Simplifying
co2s2x2 = 0

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 '(C + -6c)' equal to zero and attempt to solve:

Simplifying
C + -6c = 0

Solving
C + -6c = 0

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

Add '-1C' to each side of the equation.
C + -1C + -6c = 0 + -1C

Combine like terms: C + -1C = 0
0 + -6c = 0 + -1C
-6c = 0 + -1C
Remove the zero:
-6c = -1C

Divide each side by '-6'.
c = 0.1666666667C

Simplifying
c = 0.1666666667C
Solution
c = {0.1666666667C}

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