sin(5x)-sin(3x)=sin(x)

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Solution for sin(5x)-sin(3x)=sin(x) equation:


Simplifying
sin(5x) + -1sin(3x) = sin(x)

Remove parenthesis around (5x)
ins * 5x + -1sin(3x) = sin(x)

Reorder the terms for easier multiplication:
5ins * x + -1sin(3x) = sin(x)

Multiply ins * x
5insx + -1sin(3x) = sin(x)

Remove parenthesis around (3x)
5insx + -1ins * 3x = sin(x)

Reorder the terms for easier multiplication:
5insx + -1 * 3ins * x = sin(x)

Multiply -1 * 3
5insx + -3ins * x = sin(x)

Multiply ins * x
5insx + -3insx = sin(x)

Combine like terms: 5insx + -3insx = 2insx
2insx = sin(x)

Multiply ins * x
2insx = insx

Solving
2insx = 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.
2insx + -1insx = insx + -1insx

Combine like terms: 2insx + -1insx = 1insx
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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