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

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


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

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

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

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

Reorder the terms:
(-1 + -3cosx + (6cinos2x2 + 2insx)) = 0
(-1 + -3cosx + (6cinos2x2 + 2insx)) = 0

Reorder the terms:
(-1 + 6cinos2x2 + -3cosx + 2insx) = 0
(-1 + 6cinos2x2 + -3cosx + 2insx) = 0

Solving
-1 + 6cinos2x2 + -3cosx + 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 + 6cinos2x2 + -3cosx + 1 + 2insx = 0 + 1

Reorder the terms:
-1 + 1 + 6cinos2x2 + -3cosx + 2insx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 6cinos2x2 + -3cosx + 2insx = 0 + 1
6cinos2x2 + -3cosx + 2insx = 0 + 1

Combine like terms: 0 + 1 = 1
6cinos2x2 + -3cosx + 2insx = 1

Add '-2insx' to each side of the equation.
6cinos2x2 + -3cosx + 2insx + -2insx = 1 + -2insx

Combine like terms: 2insx + -2insx = 0
6cinos2x2 + -3cosx + 0 = 1 + -2insx
6cinos2x2 + -3cosx = 1 + -2insx

Reorder the terms:
-1 + 6cinos2x2 + -3cosx + 2insx = 1 + -2insx + -1 + 2insx

Reorder the terms:
-1 + 6cinos2x2 + -3cosx + 2insx = 1 + -1 + -2insx + 2insx

Combine like terms: 1 + -1 = 0
-1 + 6cinos2x2 + -3cosx + 2insx = 0 + -2insx + 2insx
-1 + 6cinos2x2 + -3cosx + 2insx = -2insx + 2insx

Combine like terms: -2insx + 2insx = 0
-1 + 6cinos2x2 + -3cosx + 2insx = 0

The solution to this equation could not be determined.

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