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

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


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

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

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

Multiply (-1 + insx) * (1 + 2cosx)
(-1(1 + 2cosx) + insx(1 + 2cosx)) = 0
((1 * -1 + 2cosx * -1) + insx(1 + 2cosx)) = 0
((-1 + -2cosx) + insx(1 + 2cosx)) = 0
(-1 + -2cosx + (1 * insx + 2cosx * insx)) = 0

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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