-cos^2X+cos^4X=sin^4X-sin^2X

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Solution for -cos^2X+cos^4X=sin^4X-sin^2X equation: 


Simplifying
-1cos2X + cos4X = sin4X + -1sin2X

Reorder the terms:
-1cos2X + cos4X = -1in2sX + in4sX

Solving
-1cos2X + cos4X = -1in2sX + in4sX

Solving for variable 'c'.

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

Reorder the terms:
-1cos2X + cos4X + in2sX + -1in4sX = -1in2sX + in2sX + in4sX + -1in4sX

Combine like terms: -1in2sX + in2sX = 0
-1cos2X + cos4X + in2sX + -1in4sX = 0 + in4sX + -1in4sX
-1cos2X + cos4X + in2sX + -1in4sX = in4sX + -1in4sX

Combine like terms: in4sX + -1in4sX = 0
-1cos2X + cos4X + in2sX + -1in4sX = 0

Factor out the Greatest Common Factor (GCF), 'sX'.
sX(-1cos + cos3 + in2 + -1in4) = 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 '(-1cos + cos3 + in2 + -1in4)' equal to zero and attempt to solve:

Simplifying
-1cos + cos3 + in2 + -1in4 = 0

Solving
-1cos + cos3 + in2 + -1in4 = 0

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

Add '-1in2' to each side of the equation.
-1cos + cos3 + in2 + -1in2 + -1in4 = 0 + -1in2

Combine like terms: in2 + -1in2 = 0
-1cos + cos3 + 0 + -1in4 = 0 + -1in2
-1cos + cos3 + -1in4 = 0 + -1in2
Remove the zero:
-1cos + cos3 + -1in4 = -1in2

Add 'in4' to each side of the equation.
-1cos + cos3 + -1in4 + in4 = -1in2 + in4

Combine like terms: -1in4 + in4 = 0
-1cos + cos3 + 0 = -1in2 + in4
-1cos + cos3 = -1in2 + in4

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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