(2sin(x)+1)(2cos(x)-1)=

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Solution for (2sin(x)+1)(2cos(x)-1)= equation: 


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

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

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

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

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

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

Reorder the terms:
(-1 + 2cosx + (4cinos2x2 + -2insx)) = 0
(-1 + 2cosx + (4cinos2x2 + -2insx)) = 0

Reorder the terms:
(-1 + 4cinos2x2 + 2cosx + -2insx) = 0
(-1 + 4cinos2x2 + 2cosx + -2insx) = 0

Solving
-1 + 4cinos2x2 + 2cosx + -2insx = 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 + 4cinos2x2 + 2cosx + 1 + -2insx = 0 + 1

Reorder the terms:
-1 + 1 + 4cinos2x2 + 2cosx + -2insx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4cinos2x2 + 2cosx + -2insx = 0 + 1
4cinos2x2 + 2cosx + -2insx = 0 + 1

Combine like terms: 0 + 1 = 1
4cinos2x2 + 2cosx + -2insx = 1

Add '2insx' to each side of the equation.
4cinos2x2 + 2cosx + -2insx + 2insx = 1 + 2insx

Combine like terms: -2insx + 2insx = 0
4cinos2x2 + 2cosx + 0 = 1 + 2insx
4cinos2x2 + 2cosx = 1 + 2insx

Reorder the terms:
-1 + 4cinos2x2 + 2cosx + -2insx = 1 + 2insx + -1 + -2insx

Reorder the terms:
-1 + 4cinos2x2 + 2cosx + -2insx = 1 + -1 + 2insx + -2insx

Combine like terms: 1 + -1 = 0
-1 + 4cinos2x2 + 2cosx + -2insx = 0 + 2insx + -2insx
-1 + 4cinos2x2 + 2cosx + -2insx = 2insx + -2insx

Combine like terms: 2insx + -2insx = 0
-1 + 4cinos2x2 + 2cosx + -2insx = 0

The solution to this equation could not be determined.

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