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Solve the equation sin^3x.cos3x+cos^3x.s...

Solve the equation `sin^3x.cos3x+cos^3x.sin3x+3/8=0`

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`sin^3xcos3x+cos^3xsin3x +3/8 = 0`
`=>sin^3x(4cos^3x - 3cosx)+cos^3x(3sinx-4sin^3x)+3/8 = 0`
`=>4sin^3xcos^3x - 3cosxsin^3x+3sinxcos^3x - 4sin^3xcos^3x +3/8 = 0`
`=>3sinxcosx(cos^2x-sin^2x) = -3/8`
`=>8sinxcosx(cos2x) = -1`
`=>4sin2xcos2x = -1~
`=>2sin4x = -1`
=>sin4x = -1/2`
...
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