sin^2(2x)+sin^2(3x)+sin^2(4x)+sin^2(5x)=2

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Solution for sin^2(2x)+sin^2(3x)+sin^2(4x)+sin^2(5x)=2 equation: 


Simplifying
sin2(2x) + sin2(3x) + sin2(4x) + sin2(5x) = 2

Remove parenthesis around (2x)
in2s * 2x + sin2(3x) + sin2(4x) + sin2(5x) = 2

Reorder the terms for easier multiplication:
2in2s * x + sin2(3x) + sin2(4x) + sin2(5x) = 2

Multiply in2s * x
2in2sx + sin2(3x) + sin2(4x) + sin2(5x) = 2

Remove parenthesis around (3x)
2in2sx + in2s * 3x + sin2(4x) + sin2(5x) = 2

Reorder the terms for easier multiplication:
2in2sx + 3in2s * x + sin2(4x) + sin2(5x) = 2

Multiply in2s * x
2in2sx + 3in2sx + sin2(4x) + sin2(5x) = 2

Remove parenthesis around (4x)
2in2sx + 3in2sx + in2s * 4x + sin2(5x) = 2

Reorder the terms for easier multiplication:
2in2sx + 3in2sx + 4in2s * x + sin2(5x) = 2

Multiply in2s * x
2in2sx + 3in2sx + 4in2sx + sin2(5x) = 2

Remove parenthesis around (5x)
2in2sx + 3in2sx + 4in2sx + in2s * 5x = 2

Reorder the terms for easier multiplication:
2in2sx + 3in2sx + 4in2sx + 5in2s * x = 2

Multiply in2s * x
2in2sx + 3in2sx + 4in2sx + 5in2sx = 2

Combine like terms: 2in2sx + 3in2sx = 5in2sx
5in2sx + 4in2sx + 5in2sx = 2

Combine like terms: 5in2sx + 4in2sx = 9in2sx
9in2sx + 5in2sx = 2

Combine like terms: 9in2sx + 5in2sx = 14in2sx
14in2sx = 2

Solving
14in2sx = 2

Solving for variable 'i'.

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

Divide each side by '14n2sx'.
i = 0.1428571429n-2s-1x-1

Simplifying
i = 0.1428571429n-2s-1x-1

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