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

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


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

Remove parenthesis around (2x)
4ins * 2x + -1cos(x) + -1 = 0

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

Multiply 4 * 2
8ins * x + -1cos(x) + -1 = 0

Multiply ins * x
8insx + -1cos(x) + -1 = 0

Multiply cos * x
8insx + -1cosx + -1 = 0

Reorder the terms:
-1 + -1cosx + 8insx = 0

Solving
-1 + -1cosx + 8insx = 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 + -1cosx + 1 + 8insx = 0 + 1

Reorder the terms:
-1 + 1 + -1cosx + 8insx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1cosx + 8insx = 0 + 1
-1cosx + 8insx = 0 + 1

Combine like terms: 0 + 1 = 1
-1cosx + 8insx = 1

Add '-8insx' to each side of the equation.
-1cosx + 8insx + -8insx = 1 + -8insx

Combine like terms: 8insx + -8insx = 0
-1cosx + 0 = 1 + -8insx
-1cosx = 1 + -8insx

Divide each side by '-1osx'.
c = -1o-1s-1x-1 + 8ino-1

Simplifying
c = -1o-1s-1x-1 + 8ino-1

Reorder the terms:
c = 8ino-1 + -1o-1s-1x-1

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