0=-sin(3x)+2cos(3x)-6xsin(3x)

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Solution for 0=-sin(3x)+2cos(3x)-6xsin(3x) equation:


Simplifying
0 = -1sin(3x) + 2cos(3x) + -6xsin(3x)

Remove parenthesis around (3x)
0 = -1ins * 3x + 2cos(3x) + -6xsin(3x)

Reorder the terms for easier multiplication:
0 = -1 * 3ins * x + 2cos(3x) + -6xsin(3x)

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

Multiply ins * x
0 = -3insx + 2cos(3x) + -6xsin(3x)

Remove parenthesis around (3x)
0 = -3insx + 2cos * 3x + -6xsin(3x)

Reorder the terms for easier multiplication:
0 = -3insx + 2 * 3cos * x + -6xsin(3x)

Multiply 2 * 3
0 = -3insx + 6cos * x + -6xsin(3x)

Multiply cos * x
0 = -3insx + 6cosx + -6xsin(3x)

Remove parenthesis around (3x)
0 = -3insx + 6cosx + -6insx * 3x

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

Multiply -6 * 3
0 = -3insx + 6cosx + -18insx * x

Multiply insx * x
0 = -3insx + 6cosx + -18insx2

Reorder the terms:
0 = 6cosx + -3insx + -18insx2

Solving
0 = 6cosx + -3insx + -18insx2

Solving for variable 'c'.

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

Add '-6cosx' to each side of the equation.
0 + -6cosx = 6cosx + -3insx + -6cosx + -18insx2
Remove the zero:
-6cosx = 6cosx + -3insx + -6cosx + -18insx2

Reorder the terms:
-6cosx = 6cosx + -6cosx + -3insx + -18insx2

Combine like terms: 6cosx + -6cosx = 0
-6cosx = 0 + -3insx + -18insx2
-6cosx = -3insx + -18insx2

Divide each side by '-6osx'.
c = 0.5ino-1 + 3ino-1x

Simplifying
c = 0.5ino-1 + 3ino-1x

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