sin(2x)+cosx+sin(5x)=0

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


Simplifying
sin(2x) + cosx + sin(5x) = 0

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

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

Multiply ins * x
2insx + cosx + sin(5x) = 0

Remove parenthesis around (5x)
2insx + cosx + ins * 5x = 0

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

Multiply ins * x
2insx + cosx + 5insx = 0

Reorder the terms:
cosx + 2insx + 5insx = 0

Combine like terms: 2insx + 5insx = 7insx
cosx + 7insx = 0

Solving
cosx + 7insx = 0

Solving for variable 'c'.

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

Add '-7insx' to each side of the equation.
cosx + 7insx + -7insx = 0 + -7insx

Combine like terms: 7insx + -7insx = 0
cosx + 0 = 0 + -7insx
cosx = 0 + -7insx
Remove the zero:
cosx = -7insx

Divide each side by 'osx'.
c = -7ino-1

Simplifying
c = -7ino-1

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