sin(x-sin(x-sin(x)))=sin(2x-sin(0.5x))

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Solution for sin(x-sin(x-sin(x)))=sin(2x-sin(0.5x)) equation:


Simplifying
sin(x + -1sin(x + -1sin(x))) = sin(2x + -1sin(0.5x))

Multiply ins * x
ins(x + -1ins(x + -1insx)) = sin(2x + -1sin(0.5x))

Reorder the terms:
ins(x + -1ins(-1insx + x)) = sin(2x + -1sin(0.5x))
ins(x + (-1insx * -1ins + x * -1ins)) = sin(2x + -1sin(0.5x))

Reorder the terms:
ins(x + (-1insx + 1i2n2s2x)) = sin(2x + -1sin(0.5x))
ins(x + (-1insx + 1i2n2s2x)) = sin(2x + -1sin(0.5x))

Reorder the terms:
ins(-1insx + 1i2n2s2x + x) = sin(2x + -1sin(0.5x))
(-1insx * ins + 1i2n2s2x * ins + x * ins) = sin(2x + -1sin(0.5x))

Reorder the terms:
(insx + -1i2n2s2x + 1i3n3s3x) = sin(2x + -1sin(0.5x))
(insx + -1i2n2s2x + 1i3n3s3x) = sin(2x + -1sin(0.5x))

Remove parenthesis around (0.5x)
insx + -1i2n2s2x + 1i3n3s3x = ins(2x + -1ins * 0.5x)

Reorder the terms for easier multiplication:
insx + -1i2n2s2x + 1i3n3s3x = ins(2x + -1 * 0.5ins * x)

Multiply -1 * 0.5
insx + -1i2n2s2x + 1i3n3s3x = ins(2x + -0.5ins * x)

Multiply ins * x
insx + -1i2n2s2x + 1i3n3s3x = ins(2x + -0.5insx)

Reorder the terms:
insx + -1i2n2s2x + 1i3n3s3x = ins(-0.5insx + 2x)
insx + -1i2n2s2x + 1i3n3s3x = (-0.5insx * ins + 2x * ins)

Reorder the terms:
insx + -1i2n2s2x + 1i3n3s3x = (2insx + -0.5i2n2s2x)
insx + -1i2n2s2x + 1i3n3s3x = (2insx + -0.5i2n2s2x)

Solving
insx + -1i2n2s2x + 1i3n3s3x = 2insx + -0.5i2n2s2x

Solving for variable 'i'.

Reorder the terms:
insx + -2insx + -1i2n2s2x + 0.5i2n2s2x + 1i3n3s3x = 2insx + -0.5i2n2s2x + -2insx + 0.5i2n2s2x

Combine like terms: insx + -2insx = -1insx
-1insx + -1i2n2s2x + 0.5i2n2s2x + 1i3n3s3x = 2insx + -0.5i2n2s2x + -2insx + 0.5i2n2s2x

Combine like terms: -1i2n2s2x + 0.5i2n2s2x = -0.5i2n2s2x
-1insx + -0.5i2n2s2x + 1i3n3s3x = 2insx + -0.5i2n2s2x + -2insx + 0.5i2n2s2x

Reorder the terms:
-1insx + -0.5i2n2s2x + 1i3n3s3x = 2insx + -2insx + -0.5i2n2s2x + 0.5i2n2s2x

Combine like terms: 2insx + -2insx = 0
-1insx + -0.5i2n2s2x + 1i3n3s3x = 0 + -0.5i2n2s2x + 0.5i2n2s2x
-1insx + -0.5i2n2s2x + 1i3n3s3x = -0.5i2n2s2x + 0.5i2n2s2x

Combine like terms: -0.5i2n2s2x + 0.5i2n2s2x = 0.0
-1insx + -0.5i2n2s2x + 1i3n3s3x = 0.0

The solution to this equation could not be determined.

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