3cos(2x)*sin(x)-sin(3x)=0

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Solution for 3cos(2x)*sin(x)-sin(3x)=0 equation:


Simplifying
3cos(2x) * sin(x) + -1sin(3x) = 0

Remove parenthesis around (2x)
3cos * 2x * sin(x) + -1sin(3x) = 0

Reorder the terms for easier multiplication:
3 * 2cos * x * ins * x + -1sin(3x) = 0

Multiply 3 * 2
6cos * x * ins * x + -1sin(3x) = 0

Multiply cos * x
6cosx * ins * x + -1sin(3x) = 0

Multiply cosx * ins
6cinos2x * x + -1sin(3x) = 0

Multiply cinos2x * x
6cinos2x2 + -1sin(3x) = 0

Remove parenthesis around (3x)
6cinos2x2 + -1ins * 3x = 0

Reorder the terms for easier multiplication:
6cinos2x2 + -1 * 3ins * x = 0

Multiply -1 * 3
6cinos2x2 + -3ins * x = 0

Multiply ins * x
6cinos2x2 + -3insx = 0

Solving
6cinos2x2 + -3insx = 0

Solving for variable 'c'.

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

Add '3insx' to each side of the equation.
6cinos2x2 + -3insx + 3insx = 0 + 3insx

Combine like terms: -3insx + 3insx = 0
6cinos2x2 + 0 = 0 + 3insx
6cinos2x2 = 0 + 3insx
Remove the zero:
6cinos2x2 = 3insx

Divide each side by '6inos2x2'.
c = 0.5o-1s-1x-1

Simplifying
c = 0.5o-1s-1x-1

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