cos^2(x)cos^2(2x)=0.5

Solution for cos^2(x)cos^2(2x)=0.5 equation:

Simplifying
cos2(x) * cos2(2x) = 0.5

Remove parenthesis around (2x)
cos2 * x * cos2 * 2x = 0.5

Reorder the terms for easier multiplication:
2cos2 * x * cos2 * x = 0.5

Multiply cos2 * x
2cos2x * cos2 * x = 0.5

Multiply cos2x * cos2
2c2o2s4x * x = 0.5

Multiply c2o2s4x * x
2c2o2s4x2 = 0.5

Solving
2c2o2s4x2 = 0.5

Solving for variable 'c'.

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

Divide each side by '2o2s4x2'.
c2 = 0.25o-2s-4x-2

Simplifying
c2 = 0.25o-2s-4x-2

Take the square root of each side:
c = {-0.5o-1s-2x-1, 0.5o-1s-2x-1}