cos^2x+-2sin^2x*cos^2x+-1sin^2x*cos^2x+sin^2x=cos^2(2x)

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Solution for cos^2x+-2sin^2x*cos^2x+-1sin^2x*cos^2x+sin^2x=cos^2(2x) equation: 


Simplifying
cos2x + -2sin2x * cos2x + -1sin2x * cos2x + sin2x = cos2(2x)

Multiply in2sx * cos2x
cos2x + -2cin2os3x2 + -1sin2x * cos2x + sin2x = cos2(2x)

Multiply in2sx * cos2x
cos2x + -2cin2os3x2 + -1cin2os3x2 + sin2x = cos2(2x)

Reorder the terms:
-2cin2os3x2 + -1cin2os3x2 + cos2x + in2sx = cos2(2x)

Combine like terms: -2cin2os3x2 + -1cin2os3x2 = -3cin2os3x2
-3cin2os3x2 + cos2x + in2sx = cos2(2x)

Remove parenthesis around (2x)
-3cin2os3x2 + cos2x + in2sx = cos2 * 2x

Reorder the terms for easier multiplication:
-3cin2os3x2 + cos2x + in2sx = 2cos2 * x

Multiply cos2 * x
-3cin2os3x2 + cos2x + in2sx = 2cos2x

Solving
-3cin2os3x2 + cos2x + in2sx = 2cos2x

Solving for variable 'c'.

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

Add '-2cos2x' to each side of the equation.
-3cin2os3x2 + cos2x + -2cos2x + in2sx = 2cos2x + -2cos2x

Combine like terms: cos2x + -2cos2x = -1cos2x
-3cin2os3x2 + -1cos2x + in2sx = 2cos2x + -2cos2x

Combine like terms: 2cos2x + -2cos2x = 0
-3cin2os3x2 + -1cos2x + in2sx = 0

Add '-1in2sx' to each side of the equation.
-3cin2os3x2 + -1cos2x + in2sx + -1in2sx = 0 + -1in2sx

Combine like terms: in2sx + -1in2sx = 0
-3cin2os3x2 + -1cos2x + 0 = 0 + -1in2sx
-3cin2os3x2 + -1cos2x = 0 + -1in2sx
Remove the zero:
-3cin2os3x2 + -1cos2x = -1in2sx

Combine like terms: -1in2sx + in2sx = 0
-3cin2os3x2 + -1cos2x + in2sx = 0

Factor out the Greatest Common Factor (GCF), 'sx'.
sx(-3cin2os2x + -1cos + in2) = 0


Subproblem 1
Set the factor 'sx' equal to zero and attempt to solve:

Simplifying
sx = 0

Solving
sx = 0

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

Add '-1sx' to each side of the equation.
sx + -1sx = 0 + -1sx
Remove the zero:
0 = -1sx

Simplifying
0 = -1sx

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-3cin2os2x + -1cos + in2)' equal to zero and attempt to solve:

Simplifying
-3cin2os2x + -1cos + in2 = 0

Solving
-3cin2os2x + -1cos + in2 = 0

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

Add '-1in2' to each side of the equation.
-3cin2os2x + -1cos + in2 + -1in2 = 0 + -1in2

Combine like terms: in2 + -1in2 = 0
-3cin2os2x + -1cos + 0 = 0 + -1in2
-3cin2os2x + -1cos = 0 + -1in2
Remove the zero:
-3cin2os2x + -1cos = -1in2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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