Cos^2(3x)+sin^2(x)=cos^2(4x)

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


Simplifying
Cos2(3x) + sin2(x) = cos2(4x)

Remove parenthesis around (3x)
os2C * 3x + sin2(x) = cos2(4x)

Reorder the terms for easier multiplication:
3os2C * x + sin2(x) = cos2(4x)

Multiply os2C * x
3os2xC + sin2(x) = cos2(4x)

Multiply in2s * x
3os2xC + in2sx = cos2(4x)

Reorder the terms:
in2sx + 3os2xC = cos2(4x)

Remove parenthesis around (4x)
in2sx + 3os2xC = cos2 * 4x

Reorder the terms for easier multiplication:
in2sx + 3os2xC = 4cos2 * x

Multiply cos2 * x
in2sx + 3os2xC = 4cos2x

Solving
in2sx + 3os2xC = 4cos2x

Solving for variable 'i'.

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

Add '-3os2xC' to each side of the equation.
in2sx + 3os2xC + -3os2xC = 4cos2x + -3os2xC

Combine like terms: 3os2xC + -3os2xC = 0
in2sx + 0 = 4cos2x + -3os2xC
in2sx = 4cos2x + -3os2xC

Divide each side by 'n2sx'.
i = 4cn-2os + -3n-2osC

Simplifying
i = 4cn-2os + -3n-2osC

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