3-2*cos*x-4*sin*x-cos*2*x+sin*2*x=0

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Solution for 3-2*cos*x-4*sin*x-cos*2*x+sin*2*x=0 equation:


Simplifying
3 + -2cos * x + -4sin * x + -1cos * 2x + sin * 2x = 0

Multiply cos * x
3 + -2cosx + -4sin * x + -1cos * 2x + sin * 2x = 0

Multiply ins * x
3 + -2cosx + -4insx + -1cos * 2x + sin * 2x = 0

Reorder the terms for easier multiplication:
3 + -2cosx + -4insx + -1 * 2cos * x + sin * 2x = 0

Multiply -1 * 2
3 + -2cosx + -4insx + -2cos * x + sin * 2x = 0

Multiply cos * x
3 + -2cosx + -4insx + -2cosx + sin * 2x = 0

Reorder the terms for easier multiplication:
3 + -2cosx + -4insx + -2cosx + 2ins * x = 0

Multiply ins * x
3 + -2cosx + -4insx + -2cosx + 2insx = 0

Reorder the terms:
3 + -2cosx + -2cosx + -4insx + 2insx = 0

Combine like terms: -2cosx + -2cosx = -4cosx
3 + -4cosx + -4insx + 2insx = 0

Combine like terms: -4insx + 2insx = -2insx
3 + -4cosx + -2insx = 0

Solving
3 + -4cosx + -2insx = 0

Solving for variable 'c'.

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

Add '-3' to each side of the equation.
3 + -4cosx + -3 + -2insx = 0 + -3

Reorder the terms:
3 + -3 + -4cosx + -2insx = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4cosx + -2insx = 0 + -3
-4cosx + -2insx = 0 + -3

Combine like terms: 0 + -3 = -3
-4cosx + -2insx = -3

Add '2insx' to each side of the equation.
-4cosx + -2insx + 2insx = -3 + 2insx

Combine like terms: -2insx + 2insx = 0
-4cosx + 0 = -3 + 2insx
-4cosx = -3 + 2insx

Divide each side by '-4osx'.
c = 0.75o-1s-1x-1 + -0.5ino-1

Simplifying
c = 0.75o-1s-1x-1 + -0.5ino-1

Reorder the terms:
c = -0.5ino-1 + 0.75o-1s-1x-1

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