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

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


Simplifying
-1sin2x + sin4x = cos4 + -1cos2x

Reorder the terms:
-1in2sx + in4sx = -1cos2x + cos4

Solving
-1in2sx + in4sx = -1cos2x + cos4

Solving for variable 'i'.

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

Reorder the terms:
cos2x + -1cos4 + -1in2sx + in4sx = -1cos2x + cos4 + cos2x + -1cos4

Reorder the terms:
cos2x + -1cos4 + -1in2sx + in4sx = -1cos2x + cos2x + cos4 + -1cos4

Combine like terms: -1cos2x + cos2x = 0
cos2x + -1cos4 + -1in2sx + in4sx = 0 + cos4 + -1cos4
cos2x + -1cos4 + -1in2sx + in4sx = cos4 + -1cos4

Combine like terms: cos4 + -1cos4 = 0
cos2x + -1cos4 + -1in2sx + in4sx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(cosx + -1cos3 + -1in2x + in4x) = 0


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

Simplifying
s = 0

Solving
s = 0

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

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

Simplifying
0 = -1s

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 '(cosx + -1cos3 + -1in2x + in4x)' equal to zero and attempt to solve:

Simplifying
cosx + -1cos3 + -1in2x + in4x = 0

Solving
cosx + -1cos3 + -1in2x + in4x = 0

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

Add '-1cosx' to each side of the equation.
cosx + -1cos3 + -1in2x + -1cosx + in4x = 0 + -1cosx

Reorder the terms:
cosx + -1cosx + -1cos3 + -1in2x + in4x = 0 + -1cosx

Combine like terms: cosx + -1cosx = 0
0 + -1cos3 + -1in2x + in4x = 0 + -1cosx
-1cos3 + -1in2x + in4x = 0 + -1cosx
Remove the zero:
-1cos3 + -1in2x + in4x = -1cosx

Add 'cos3' to each side of the equation.
-1cos3 + -1in2x + cos3 + in4x = -1cosx + cos3

Reorder the terms:
-1cos3 + cos3 + -1in2x + in4x = -1cosx + cos3

Combine like terms: -1cos3 + cos3 = 0
0 + -1in2x + in4x = -1cosx + cos3
-1in2x + in4x = -1cosx + cos3

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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