(3sinx-2)(2cosx+1)=0

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Solution for (3sinx-2)(2cosx+1)=0 equation: 


Simplifying
(3sinx + -2)(2cosx + 1) = 0

Reorder the terms:
(-2 + 3insx)(2cosx + 1) = 0

Reorder the terms:
(-2 + 3insx)(1 + 2cosx) = 0

Multiply (-2 + 3insx) * (1 + 2cosx)
(-2(1 + 2cosx) + 3insx * (1 + 2cosx)) = 0
((1 * -2 + 2cosx * -2) + 3insx * (1 + 2cosx)) = 0
((-2 + -4cosx) + 3insx * (1 + 2cosx)) = 0
(-2 + -4cosx + (1 * 3insx + 2cosx * 3insx)) = 0

Reorder the terms:
(-2 + -4cosx + (6cinos2x2 + 3insx)) = 0
(-2 + -4cosx + (6cinos2x2 + 3insx)) = 0

Reorder the terms:
(-2 + 6cinos2x2 + -4cosx + 3insx) = 0
(-2 + 6cinos2x2 + -4cosx + 3insx) = 0

Solving
-2 + 6cinos2x2 + -4cosx + 3insx = 0

Solving for variable 'c'.

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

Add '2' to each side of the equation.
-2 + 6cinos2x2 + -4cosx + 2 + 3insx = 0 + 2

Reorder the terms:
-2 + 2 + 6cinos2x2 + -4cosx + 3insx = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 6cinos2x2 + -4cosx + 3insx = 0 + 2
6cinos2x2 + -4cosx + 3insx = 0 + 2

Combine like terms: 0 + 2 = 2
6cinos2x2 + -4cosx + 3insx = 2

Add '-3insx' to each side of the equation.
6cinos2x2 + -4cosx + 3insx + -3insx = 2 + -3insx

Combine like terms: 3insx + -3insx = 0
6cinos2x2 + -4cosx + 0 = 2 + -3insx
6cinos2x2 + -4cosx = 2 + -3insx

Reorder the terms:
-2 + 6cinos2x2 + -4cosx + 3insx = 2 + -3insx + -2 + 3insx

Reorder the terms:
-2 + 6cinos2x2 + -4cosx + 3insx = 2 + -2 + -3insx + 3insx

Combine like terms: 2 + -2 = 0
-2 + 6cinos2x2 + -4cosx + 3insx = 0 + -3insx + 3insx
-2 + 6cinos2x2 + -4cosx + 3insx = -3insx + 3insx

Combine like terms: -3insx + 3insx = 0
-2 + 6cinos2x2 + -4cosx + 3insx = 0

The solution to this equation could not be determined.

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