(2sinx+1)(2cosx+5)=0

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Solution for (2sinx+1)(2cosx+5)=0 equation: 


Simplifying
(2sinx + 1)(2cosx + 5) = 0

Reorder the terms:
(1 + 2insx)(2cosx + 5) = 0

Reorder the terms:
(1 + 2insx)(5 + 2cosx) = 0

Multiply (1 + 2insx) * (5 + 2cosx)
(1(5 + 2cosx) + 2insx * (5 + 2cosx)) = 0
((5 * 1 + 2cosx * 1) + 2insx * (5 + 2cosx)) = 0
((5 + 2cosx) + 2insx * (5 + 2cosx)) = 0
(5 + 2cosx + (5 * 2insx + 2cosx * 2insx)) = 0

Reorder the terms:
(5 + 2cosx + (4cinos2x2 + 10insx)) = 0
(5 + 2cosx + (4cinos2x2 + 10insx)) = 0

Reorder the terms:
(5 + 4cinos2x2 + 2cosx + 10insx) = 0
(5 + 4cinos2x2 + 2cosx + 10insx) = 0

Solving
5 + 4cinos2x2 + 2cosx + 10insx = 0

Solving for variable 'c'.

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

Add '-5' to each side of the equation.
5 + 4cinos2x2 + 2cosx + -5 + 10insx = 0 + -5

Reorder the terms:
5 + -5 + 4cinos2x2 + 2cosx + 10insx = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4cinos2x2 + 2cosx + 10insx = 0 + -5
4cinos2x2 + 2cosx + 10insx = 0 + -5

Combine like terms: 0 + -5 = -5
4cinos2x2 + 2cosx + 10insx = -5

Add '-10insx' to each side of the equation.
4cinos2x2 + 2cosx + 10insx + -10insx = -5 + -10insx

Combine like terms: 10insx + -10insx = 0
4cinos2x2 + 2cosx + 0 = -5 + -10insx
4cinos2x2 + 2cosx = -5 + -10insx

Reorder the terms:
5 + 4cinos2x2 + 2cosx + 10insx = -5 + -10insx + 5 + 10insx

Reorder the terms:
5 + 4cinos2x2 + 2cosx + 10insx = -5 + 5 + -10insx + 10insx

Combine like terms: -5 + 5 = 0
5 + 4cinos2x2 + 2cosx + 10insx = 0 + -10insx + 10insx
5 + 4cinos2x2 + 2cosx + 10insx = -10insx + 10insx

Combine like terms: -10insx + 10insx = 0
5 + 4cinos2x2 + 2cosx + 10insx = 0

The solution to this equation could not be determined.

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