sinx(2cosx-1)-cosx-1=0

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Solution for sinx(2cosx-1)-cosx-1=0 equation:


Simplifying
sinx(2cosx + -1) + -1cosx + -1 = 0

Reorder the terms:
insx(-1 + 2cosx) + -1cosx + -1 = 0
(-1 * insx + 2cosx * insx) + -1cosx + -1 = 0

Reorder the terms:
(2cinos2x2 + -1insx) + -1cosx + -1 = 0
(2cinos2x2 + -1insx) + -1cosx + -1 = 0

Reorder the terms:
-1 + 2cinos2x2 + -1cosx + -1insx = 0

Solving
-1 + 2cinos2x2 + -1cosx + -1insx = 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 + 2cinos2x2 + -1cosx + 1 + -1insx = 0 + 1

Reorder the terms:
-1 + 1 + 2cinos2x2 + -1cosx + -1insx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2cinos2x2 + -1cosx + -1insx = 0 + 1
2cinos2x2 + -1cosx + -1insx = 0 + 1

Combine like terms: 0 + 1 = 1
2cinos2x2 + -1cosx + -1insx = 1

Add 'insx' to each side of the equation.
2cinos2x2 + -1cosx + -1insx + insx = 1 + insx

Combine like terms: -1insx + insx = 0
2cinos2x2 + -1cosx + 0 = 1 + insx
2cinos2x2 + -1cosx = 1 + insx

Reorder the terms:
-1 + 2cinos2x2 + -1cosx + -1insx = 1 + insx + -1 + -1insx

Reorder the terms:
-1 + 2cinos2x2 + -1cosx + -1insx = 1 + -1 + insx + -1insx

Combine like terms: 1 + -1 = 0
-1 + 2cinos2x2 + -1cosx + -1insx = 0 + insx + -1insx
-1 + 2cinos2x2 + -1cosx + -1insx = insx + -1insx

Combine like terms: insx + -1insx = 0
-1 + 2cinos2x2 + -1cosx + -1insx = 0

The solution to this equation could not be determined.

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