2cos(x)sin(5x)+2cos(x)+sin(5x)+1=0

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Solution for 2cos(x)sin(5x)+2cos(x)+sin(5x)+1=0 equation:


Simplifying
2cos(x) * sin(5x) + 2cos(x) + sin(5x) + 1 = 0

Remove parenthesis around (5x)
2cos * x * ins * 5x + 2cos(x) + sin(5x) + 1 = 0

Reorder the terms for easier multiplication:
2 * 5cos * x * ins * x + 2cos(x) + sin(5x) + 1 = 0

Multiply 2 * 5
10cos * x * ins * x + 2cos(x) + sin(5x) + 1 = 0

Multiply cos * x
10cosx * ins * x + 2cos(x) + sin(5x) + 1 = 0

Multiply cosx * ins
10cinos2x * x + 2cos(x) + sin(5x) + 1 = 0

Multiply cinos2x * x
10cinos2x2 + 2cos(x) + sin(5x) + 1 = 0

Multiply cos * x
10cinos2x2 + 2cosx + sin(5x) + 1 = 0

Remove parenthesis around (5x)
10cinos2x2 + 2cosx + ins * 5x + 1 = 0

Reorder the terms for easier multiplication:
10cinos2x2 + 2cosx + 5ins * x + 1 = 0

Multiply ins * x
10cinos2x2 + 2cosx + 5insx + 1 = 0

Reorder the terms:
1 + 10cinos2x2 + 2cosx + 5insx = 0

Solving
1 + 10cinos2x2 + 2cosx + 5insx = 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 + 10cinos2x2 + 2cosx + -1 + 5insx = 0 + -1

Reorder the terms:
1 + -1 + 10cinos2x2 + 2cosx + 5insx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 10cinos2x2 + 2cosx + 5insx = 0 + -1
10cinos2x2 + 2cosx + 5insx = 0 + -1

Combine like terms: 0 + -1 = -1
10cinos2x2 + 2cosx + 5insx = -1

Add '-5insx' to each side of the equation.
10cinos2x2 + 2cosx + 5insx + -5insx = -1 + -5insx

Combine like terms: 5insx + -5insx = 0
10cinos2x2 + 2cosx + 0 = -1 + -5insx
10cinos2x2 + 2cosx = -1 + -5insx

Reorder the terms:
1 + 10cinos2x2 + 2cosx + 5insx = -1 + -5insx + 1 + 5insx

Reorder the terms:
1 + 10cinos2x2 + 2cosx + 5insx = -1 + 1 + -5insx + 5insx

Combine like terms: -1 + 1 = 0
1 + 10cinos2x2 + 2cosx + 5insx = 0 + -5insx + 5insx
1 + 10cinos2x2 + 2cosx + 5insx = -5insx + 5insx

Combine like terms: -5insx + 5insx = 0
1 + 10cinos2x2 + 2cosx + 5insx = 0

The solution to this equation could not be determined.

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