sin(x)[sin(x)+sin(5x)]=cos(2x)[cos(2x)-cos(4x)]

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Solution for sin(x)[sin(x)+sin(5x)]=cos(2x)[cos(2x)-cos(4x)] equation: 


Simplifying
sin(x)[sin(x) + sin(5x)] = cos(2x)[cos(2x) + -1cos(4x)]

Multiply ins * x
ins * x[insx + sin(5x)] = cos(2x)[cos(2x) + -1cos(4x)]

Remove parenthesis around (5x)
ins * x[insx + ins * 5x] = cos(2x)[cos(2x) + -1cos(4x)]

Reorder the terms for easier multiplication:
ins * x[insx + 5ins * x] = cos(2x)[cos(2x) + -1cos(4x)]

Multiply ins * x
ins * x[insx + 5insx] = cos(2x)[cos(2x) + -1cos(4x)]

Combine like terms: insx + 5insx = 6insx
ins * x[6insx] = cos(2x)[cos(2x) + -1cos(4x)]

Remove brackets around [6insx]
ins * x * 6insx = cos(2x)[cos(2x) + -1cos(4x)]

Reorder the terms for easier multiplication:
6ins * x * insx = cos(2x)[cos(2x) + -1cos(4x)]

Multiply ins * x
6insx * insx = cos(2x)[cos(2x) + -1cos(4x)]

Multiply insx * insx
6i2n2s2x2 = cos(2x)[cos(2x) + -1cos(4x)]

Remove parenthesis around (2x)
6i2n2s2x2 = cos * 2x[cos(2x) + -1cos(4x)]

Remove parenthesis around (2x)
6i2n2s2x2 = cos * 2x[cos * 2x + -1cos(4x)]

Reorder the terms for easier multiplication:
6i2n2s2x2 = cos * 2x[2cos * x + -1cos(4x)]

Multiply cos * x
6i2n2s2x2 = cos * 2x[2cosx + -1cos(4x)]

Remove parenthesis around (4x)
6i2n2s2x2 = cos * 2x[2cosx + -1cos * 4x]

Reorder the terms for easier multiplication:
6i2n2s2x2 = cos * 2x[2cosx + -1 * 4cos * x]

Multiply -1 * 4
6i2n2s2x2 = cos * 2x[2cosx + -4cos * x]

Multiply cos * x
6i2n2s2x2 = cos * 2x[2cosx + -4cosx]

Combine like terms: 2cosx + -4cosx = -2cosx
6i2n2s2x2 = cos * 2x[-2cosx]

Remove brackets around [-2cosx]
6i2n2s2x2 = cos * 2x * -2cosx

Reorder the terms for easier multiplication:
6i2n2s2x2 = 2 * -2cos * x * cosx

Multiply 2 * -2
6i2n2s2x2 = -4cos * x * cosx

Multiply cos * x
6i2n2s2x2 = -4cosx * cosx

Multiply cosx * cosx
6i2n2s2x2 = -4c2o2s2x2

Solving
6i2n2s2x2 = -4c2o2s2x2

Solving for variable 'i'.

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

Divide each side by '6n2s2x2'.
i2 = -0.6666666667c2n-2o2

Simplifying
i2 = -0.6666666667c2n-2o2

Reorder the terms:
0.6666666667c2n-2o2 + i2 = -0.6666666667c2n-2o2 + 0.6666666667c2n-2o2

Combine like terms: -0.6666666667c2n-2o2 + 0.6666666667c2n-2o2 = 0.0000000000
0.6666666667c2n-2o2 + i2 = 0.0000000000

The solution to this equation could not be determined.

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