cos^2(2x)-cos^2(3x)=sin^2(3x)-sin^2(x)

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Solution for cos^2(2x)-cos^2(3x)=sin^2(3x)-sin^2(x) equation: 


Simplifying
cos2(2x) + -1cos2(3x) = sin2(3x) + -1sin2(x)

Remove parenthesis around (2x)
cos2 * 2x + -1cos2(3x) = sin2(3x) + -1sin2(x)

Reorder the terms for easier multiplication:
2cos2 * x + -1cos2(3x) = sin2(3x) + -1sin2(x)

Multiply cos2 * x
2cos2x + -1cos2(3x) = sin2(3x) + -1sin2(x)

Remove parenthesis around (3x)
2cos2x + -1cos2 * 3x = sin2(3x) + -1sin2(x)

Reorder the terms for easier multiplication:
2cos2x + -1 * 3cos2 * x = sin2(3x) + -1sin2(x)

Multiply -1 * 3
2cos2x + -3cos2 * x = sin2(3x) + -1sin2(x)

Multiply cos2 * x
2cos2x + -3cos2x = sin2(3x) + -1sin2(x)

Combine like terms: 2cos2x + -3cos2x = -1cos2x
-1cos2x = sin2(3x) + -1sin2(x)

Remove parenthesis around (3x)
-1cos2x = in2s * 3x + -1sin2(x)

Reorder the terms for easier multiplication:
-1cos2x = 3in2s * x + -1sin2(x)

Multiply in2s * x
-1cos2x = 3in2sx + -1sin2(x)

Multiply in2s * x
-1cos2x = 3in2sx + -1in2sx

Combine like terms: 3in2sx + -1in2sx = 2in2sx
-1cos2x = 2in2sx

Solving
-1cos2x = 2in2sx

Solving for variable 'c'.

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

Divide each side by '-1os2x'.
c = -2in2o-1s-1

Simplifying
c = -2in2o-1s-1

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