cosx*cos(2*x)=0.5

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

Simplifying
cosx * cos(2x) = 0.5

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

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

Multiply cosx * cos
2c2o2s2x * x = 0.5

Multiply c2o2s2x * x
2c2o2s2x2 = 0.5

Solving
2c2o2s2x2 = 0.5

Solving for variable 'c'.

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

Divide each side by '2o2s2x2'.
c2 = 0.25o-2s-2x-2

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

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