4*sinx*cos(2*x)+4*cosx*sin(2*x)-1=0

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Solution for 4*sinx*cos(2*x)+4*cosx*sin(2*x)-1=0 equation:


Simplifying
4sinx * cos(2x) + 4cosx * sin(2x) + -1 = 0

Remove parenthesis around (2x)
4insx * cos * 2x + 4cosx * sin(2x) + -1 = 0

Reorder the terms for easier multiplication:
4 * 2insx * cos * x + 4cosx * sin(2x) + -1 = 0

Multiply 4 * 2
8insx * cos * x + 4cosx * sin(2x) + -1 = 0

Multiply insx * cos
8cinos2x * x + 4cosx * sin(2x) + -1 = 0

Multiply cinos2x * x
8cinos2x2 + 4cosx * sin(2x) + -1 = 0

Remove parenthesis around (2x)
8cinos2x2 + 4cosx * ins * 2x + -1 = 0

Reorder the terms for easier multiplication:
8cinos2x2 + 4 * 2cosx * ins * x + -1 = 0

Multiply 4 * 2
8cinos2x2 + 8cosx * ins * x + -1 = 0

Multiply cosx * ins
8cinos2x2 + 8cinos2x * x + -1 = 0

Multiply cinos2x * x
8cinos2x2 + 8cinos2x2 + -1 = 0

Reorder the terms:
-1 + 8cinos2x2 + 8cinos2x2 = 0

Combine like terms: 8cinos2x2 + 8cinos2x2 = 16cinos2x2
-1 + 16cinos2x2 = 0

Solving
-1 + 16cinos2x2 = 0

Solving for variable 'c'.

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

Add '1' to each side of the equation.
-1 + 1 + 16cinos2x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 16cinos2x2 = 0 + 1
16cinos2x2 = 0 + 1

Combine like terms: 0 + 1 = 1
16cinos2x2 = 1

Divide each side by '16inos2x2'.
c = 0.0625i-1n-1o-1s-2x-2

Simplifying
c = 0.0625i-1n-1o-1s-2x-2

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