2*sin*3x+5*cos*3x+sin*3x=0

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Solution for 2*sin*3x+5*cos*3x+sin*3x=0 equation:


Simplifying
2sin * 3x + 5cos * 3x + sin * 3x = 0

Reorder the terms for easier multiplication:
2 * 3ins * x + 5cos * 3x + sin * 3x = 0

Multiply 2 * 3
6ins * x + 5cos * 3x + sin * 3x = 0

Multiply ins * x
6insx + 5cos * 3x + sin * 3x = 0

Reorder the terms for easier multiplication:
6insx + 5 * 3cos * x + sin * 3x = 0

Multiply 5 * 3
6insx + 15cos * x + sin * 3x = 0

Multiply cos * x
6insx + 15cosx + sin * 3x = 0

Reorder the terms for easier multiplication:
6insx + 15cosx + 3ins * x = 0

Multiply ins * x
6insx + 15cosx + 3insx = 0

Reorder the terms:
15cosx + 6insx + 3insx = 0

Combine like terms: 6insx + 3insx = 9insx
15cosx + 9insx = 0

Solving
15cosx + 9insx = 0

Solving for variable 'c'.

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

Add '-9insx' to each side of the equation.
15cosx + 9insx + -9insx = 0 + -9insx

Combine like terms: 9insx + -9insx = 0
15cosx + 0 = 0 + -9insx
15cosx = 0 + -9insx
Remove the zero:
15cosx = -9insx

Divide each side by '15osx'.
c = -0.6ino-1

Simplifying
c = -0.6ino-1

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