sin*4x*cos*2x-cos*4x*sin*2x=sqrt(2)*sinx

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Solution for sin*4x*cos*2x-cos*4x*sin*2x=sqrt(2)*sinx equation: 


Simplifying
sin * 4x * cos * 2x + -1cos * 4x * sin * 2x = sqrt(2) * sinx

Reorder the terms for easier multiplication:
4 * 2ins * x * cos * x + -1cos * 4x * sin * 2x = sqrt(2) * sinx

Multiply 4 * 2
8ins * x * cos * x + -1cos * 4x * sin * 2x = sqrt(2) * sinx

Multiply ins * x
8insx * cos * x + -1cos * 4x * sin * 2x = sqrt(2) * sinx

Multiply insx * cos
8cinos2x * x + -1cos * 4x * sin * 2x = sqrt(2) * sinx

Multiply cinos2x * x
8cinos2x2 + -1cos * 4x * sin * 2x = sqrt(2) * sinx

Reorder the terms for easier multiplication:
8cinos2x2 + -1 * 4 * 2cos * x * ins * x = sqrt(2) * sinx

Multiply -1 * 4
8cinos2x2 + -4 * 2cos * x * ins * x = sqrt(2) * sinx

Multiply -4 * 2
8cinos2x2 + -8cos * x * ins * x = sqrt(2) * sinx

Multiply cos * x
8cinos2x2 + -8cosx * ins * x = sqrt(2) * sinx

Multiply cosx * ins
8cinos2x2 + -8cinos2x * x = sqrt(2) * sinx

Multiply cinos2x * x
8cinos2x2 + -8cinos2x2 = sqrt(2) * sinx

Combine like terms: 8cinos2x2 + -8cinos2x2 = 0
0 = sqrt(2) * sinx

Reorder the terms for easier multiplication:
0 = 2qrst * insx

Multiply qrst * insx
0 = 2inqrs2tx

Solving
0 = 2inqrs2tx

Solving for variable 'i'.

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

Add '-2inqrs2tx' to each side of the equation.
0 + -2inqrs2tx = 2inqrs2tx + -2inqrs2tx
Remove the zero:
-2inqrs2tx = 2inqrs2tx + -2inqrs2tx

Combine like terms: 2inqrs2tx + -2inqrs2tx = 0
-2inqrs2tx = 0

Divide each side by '-2'.
inqrs2tx = 0

Simplifying
inqrs2tx = 0

The solution to this equation could not be determined.

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