(cos(2x))cosx=0.5

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

Simplifying
(cos(2x)) * cosx = 0.5

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

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

Multiply cos * x
(2cosx) * cosx = 0.5

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

Multiply cosx * cosx
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}