sin^2(x)-sin^2(4x)=sin^2(8x)+sin^2(10x)

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Solution for sin^2(x)-sin^2(4x)=sin^2(8x)+sin^2(10x) equation: 


Simplifying
sin2(x) + -1sin2(4x) = sin2(8x) + sin2(10x)

Multiply in2s * x
in2sx + -1sin2(4x) = sin2(8x) + sin2(10x)

Remove parenthesis around (4x)
in2sx + -1in2s * 4x = sin2(8x) + sin2(10x)

Reorder the terms for easier multiplication:
in2sx + -1 * 4in2s * x = sin2(8x) + sin2(10x)

Multiply -1 * 4
in2sx + -4in2s * x = sin2(8x) + sin2(10x)

Multiply in2s * x
in2sx + -4in2sx = sin2(8x) + sin2(10x)

Combine like terms: in2sx + -4in2sx = -3in2sx
-3in2sx = sin2(8x) + sin2(10x)

Remove parenthesis around (8x)
-3in2sx = in2s * 8x + sin2(10x)

Reorder the terms for easier multiplication:
-3in2sx = 8in2s * x + sin2(10x)

Multiply in2s * x
-3in2sx = 8in2sx + sin2(10x)

Remove parenthesis around (10x)
-3in2sx = 8in2sx + in2s * 10x

Reorder the terms for easier multiplication:
-3in2sx = 8in2sx + 10in2s * x

Multiply in2s * x
-3in2sx = 8in2sx + 10in2sx

Combine like terms: 8in2sx + 10in2sx = 18in2sx
-3in2sx = 18in2sx

Solving
-3in2sx = 18in2sx

Solving for variable 'i'.

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

Add '-18in2sx' to each side of the equation.
-3in2sx + -18in2sx = 18in2sx + -18in2sx

Combine like terms: -3in2sx + -18in2sx = -21in2sx
-21in2sx = 18in2sx + -18in2sx

Combine like terms: 18in2sx + -18in2sx = 0
-21in2sx = 0

Divide each side by '-21'.
in2sx = 0

Simplifying
in2sx = 0

The solution to this equation could not be determined.

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