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

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


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

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

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

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

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

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

Reorder the terms for easier multiplication:
4osxC + -3 * 2 * 2cos * x * cos * x = 4

Multiply -3 * 2
4osxC + -6 * 2cos * x * cos * x = 4

Multiply -6 * 2
4osxC + -12cos * x * cos * x = 4

Multiply cos * x
4osxC + -12cosx * cos * x = 4

Multiply cosx * cos
4osxC + -12c2o2s2x * x = 4

Multiply c2o2s2x * x
4osxC + -12c2o2s2x2 = 4

Reorder the terms:
-12c2o2s2x2 + 4osxC = 4

Solving
-12c2o2s2x2 + 4osxC = 4

Solving for variable 'c'.

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

Add '-4osxC' to each side of the equation.
-12c2o2s2x2 + 4osxC + -4osxC = 4 + -4osxC

Combine like terms: 4osxC + -4osxC = 0
-12c2o2s2x2 + 0 = 4 + -4osxC
-12c2o2s2x2 = 4 + -4osxC

Divide each side by '-12o2s2x2'.
c2 = -0.3333333333o-2s-2x-2 + 0.3333333333o-1s-1x-1C

Simplifying
c2 = -0.3333333333o-2s-2x-2 + 0.3333333333o-1s-1x-1C

Reorder the terms:
c2 + 0.3333333333o-2s-2x-2 + -0.3333333333o-1s-1x-1C = -0.3333333333o-2s-2x-2 + 0.3333333333o-2s-2x-2 + 0.3333333333o-1s-1x-1C + -0.3333333333o-1s-1x-1C

Combine like terms: -0.3333333333o-2s-2x-2 + 0.3333333333o-2s-2x-2 = 0.0000000000
c2 + 0.3333333333o-2s-2x-2 + -0.3333333333o-1s-1x-1C = 0.0000000000 + 0.3333333333o-1s-1x-1C + -0.3333333333o-1s-1x-1C
c2 + 0.3333333333o-2s-2x-2 + -0.3333333333o-1s-1x-1C = 0.3333333333o-1s-1x-1C + -0.3333333333o-1s-1x-1C

Combine like terms: 0.3333333333o-1s-1x-1C + -0.3333333333o-1s-1x-1C = 0.0000000000
c2 + 0.3333333333o-2s-2x-2 + -0.3333333333o-1s-1x-1C = 0.0000000000

The solution to this equation could not be determined.

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