sin(2x)cos(x)-cos(2x)sin(x)=sin(x)

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


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

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

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

Multiply ins * x
2insx * cos * x + -1cos(2x) * sin(x) = sin(x)

Multiply insx * cos
2cinos2x * x + -1cos(2x) * sin(x) = sin(x)

Multiply cinos2x * x
2cinos2x2 + -1cos(2x) * sin(x) = sin(x)

Remove parenthesis around (2x)
2cinos2x2 + -1cos * 2x * sin(x) = sin(x)

Reorder the terms for easier multiplication:
2cinos2x2 + -1 * 2cos * x * ins * x = sin(x)

Multiply -1 * 2
2cinos2x2 + -2cos * x * ins * x = sin(x)

Multiply cos * x
2cinos2x2 + -2cosx * ins * x = sin(x)

Multiply cosx * ins
2cinos2x2 + -2cinos2x * x = sin(x)

Multiply cinos2x * x
2cinos2x2 + -2cinos2x2 = sin(x)

Combine like terms: 2cinos2x2 + -2cinos2x2 = 0
0 = sin(x)

Multiply ins * x
0 = insx

Solving
0 = insx

Solving for variable 'i'.

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

Add '-1insx' to each side of the equation.
0 + -1insx = insx + -1insx
Remove the zero:
-1insx = insx + -1insx

Combine like terms: insx + -1insx = 0
-1insx = 0

Divide each side by '-1'.
insx = 0

Simplifying
insx = 0

The solution to this equation could not be determined.

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