sin(2x)+sin(6x)=sin(8x)+sin(4x)

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Solution for sin(2x)+sin(6x)=sin(8x)+sin(4x) equation:


Simplifying
sin(2x) + sin(6x) = sin(8x) + sin(4x)

Remove parenthesis around (2x)
ins * 2x + sin(6x) = sin(8x) + sin(4x)

Reorder the terms for easier multiplication:
2ins * x + sin(6x) = sin(8x) + sin(4x)

Multiply ins * x
2insx + sin(6x) = sin(8x) + sin(4x)

Remove parenthesis around (6x)
2insx + ins * 6x = sin(8x) + sin(4x)

Reorder the terms for easier multiplication:
2insx + 6ins * x = sin(8x) + sin(4x)

Multiply ins * x
2insx + 6insx = sin(8x) + sin(4x)

Combine like terms: 2insx + 6insx = 8insx
8insx = sin(8x) + sin(4x)

Remove parenthesis around (8x)
8insx = ins * 8x + sin(4x)

Reorder the terms for easier multiplication:
8insx = 8ins * x + sin(4x)

Multiply ins * x
8insx = 8insx + sin(4x)

Remove parenthesis around (4x)
8insx = 8insx + ins * 4x

Reorder the terms for easier multiplication:
8insx = 8insx + 4ins * x

Multiply ins * x
8insx = 8insx + 4insx

Combine like terms: 8insx + 4insx = 12insx
8insx = 12insx

Solving
8insx = 12insx

Solving for variable 'i'.

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

Add '-12insx' to each side of the equation.
8insx + -12insx = 12insx + -12insx

Combine like terms: 8insx + -12insx = -4insx
-4insx = 12insx + -12insx

Combine like terms: 12insx + -12insx = 0
-4insx = 0

Divide each side by '-4'.
insx = 0

Simplifying
insx = 0

The solution to this equation could not be determined.

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