sin(2x)cos(3x)=cos(4x)sin(3x)

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Solution for sin(2x)cos(3x)=cos(4x)sin(3x) equation:


Simplifying
sin(2x) * cos(3x) = cos(4x) * sin(3x)

Remove parenthesis around (2x)
ins * 2x * cos(3x) = cos(4x) * sin(3x)

Remove parenthesis around (3x)
ins * 2x * cos * 3x = cos(4x) * sin(3x)

Reorder the terms for easier multiplication:
2 * 3ins * x * cos * x = cos(4x) * sin(3x)

Multiply 2 * 3
6ins * x * cos * x = cos(4x) * sin(3x)

Multiply ins * x
6insx * cos * x = cos(4x) * sin(3x)

Multiply insx * cos
6cinos2x * x = cos(4x) * sin(3x)

Multiply cinos2x * x
6cinos2x2 = cos(4x) * sin(3x)

Remove parenthesis around (4x)
6cinos2x2 = cos * 4x * sin(3x)

Remove parenthesis around (3x)
6cinos2x2 = cos * 4x * ins * 3x

Reorder the terms for easier multiplication:
6cinos2x2 = 4 * 3cos * x * ins * x

Multiply 4 * 3
6cinos2x2 = 12cos * x * ins * x

Multiply cos * x
6cinos2x2 = 12cosx * ins * x

Multiply cosx * ins
6cinos2x2 = 12cinos2x * x

Multiply cinos2x * x
6cinos2x2 = 12cinos2x2

Solving
6cinos2x2 = 12cinos2x2

Solving for variable 'c'.

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

Add '-12cinos2x2' to each side of the equation.
6cinos2x2 + -12cinos2x2 = 12cinos2x2 + -12cinos2x2

Combine like terms: 6cinos2x2 + -12cinos2x2 = -6cinos2x2
-6cinos2x2 = 12cinos2x2 + -12cinos2x2

Combine like terms: 12cinos2x2 + -12cinos2x2 = 0
-6cinos2x2 = 0

Divide each side by '-6'.
cinos2x2 = 0

Simplifying
cinos2x2 = 0

The solution to this equation could not be determined.

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