4cos(x)cos(2x)-cos(3x)=0

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Solution for 4cos(x)cos(2x)-cos(3x)=0 equation: 


Simplifying
4cos(x) * cos(2x) + -1cos(3x) = 0

Remove parenthesis around (2x)
4cos * x * cos * 2x + -1cos(3x) = 0

Reorder the terms for easier multiplication:
4 * 2cos * x * cos * x + -1cos(3x) = 0

Multiply 4 * 2
8cos * x * cos * x + -1cos(3x) = 0

Multiply cos * x
8cosx * cos * x + -1cos(3x) = 0

Multiply cosx * cos
8c2o2s2x * x + -1cos(3x) = 0

Multiply c2o2s2x * x
8c2o2s2x2 + -1cos(3x) = 0

Remove parenthesis around (3x)
8c2o2s2x2 + -1cos * 3x = 0

Reorder the terms for easier multiplication:
8c2o2s2x2 + -1 * 3cos * x = 0

Multiply -1 * 3
8c2o2s2x2 + -3cos * x = 0

Multiply cos * x
8c2o2s2x2 + -3cosx = 0

Reorder the terms:
-3cosx + 8c2o2s2x2 = 0

Solving
-3cosx + 8c2o2s2x2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'cosx'.
cosx(-3 + 8cosx) = 0


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

Simplifying
cosx = 0

Solving
cosx = 0

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

Simplifying
cosx = 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 '(-3 + 8cosx)' equal to zero and attempt to solve:

Simplifying
-3 + 8cosx = 0

Solving
-3 + 8cosx = 0

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

Add '3' to each side of the equation.
-3 + 3 + 8cosx = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 8cosx = 0 + 3
8cosx = 0 + 3

Combine like terms: 0 + 3 = 3
8cosx = 3

Divide each side by '8osx'.
c = 0.375o-1s-1x-1

Simplifying
c = 0.375o-1s-1x-1
Solution
c = {0.375o-1s-1x-1}

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