0=sin(x)+0.5*cos(2x)

Solution for 0=sin(x)+0.5*cos(2x) equation:

Simplifying
0 = sin(x) + 0.5cos(2x)

Multiply ins * x
0 = insx + 0.5cos(2x)

Remove parenthesis around (2x)
0 = insx + 0.5cos * 2x

Reorder the terms for easier multiplication:
0 = insx + 0.5 * 2cos * x

Multiply 0.5 * 2
0 = insx + 1cos * x

Multiply cos * x
0 = insx + 1cosx

Reorder the terms:
0 = 1cosx + insx

Solving
0 = 1cosx + insx

Solving for variable 'c'.

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

Add '-1cosx' to each side of the equation.
0 + -1cosx = 1cosx + -1cosx + insx
Remove the zero:
-1cosx = 1cosx + -1cosx + insx

Combine like terms: 1cosx + -1cosx = 0
-1cosx = 0 + insx
-1cosx = insx

Divide each side by '-1osx'.
c = -1ino-1

Simplifying
c = -1ino-1