sin^4x-cos^4x+cos^2x=0

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Solution for sin^4x-cos^4x+cos^2x=0 equation: 


Simplifying
sin4x + -1cos4x + cos2x = 0

Reorder the terms:
cos2x + -1cos4x + in4sx = 0

Solving
cos2x + -1cos4x + in4sx = 0

Solving for variable 'c'.

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

Add '-1in4sx' to each side of the equation.
cos2x + -1cos4x + in4sx + -1in4sx = 0 + -1in4sx

Combine like terms: in4sx + -1in4sx = 0
cos2x + -1cos4x + 0 = 0 + -1in4sx
cos2x + -1cos4x = 0 + -1in4sx
Remove the zero:
cos2x + -1cos4x = -1in4sx

Combine like terms: -1in4sx + in4sx = 0
cos2x + -1cos4x + in4sx = 0

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

Simplifying
cos + -1cos3 + in4 = 0

Solving
cos + -1cos3 + in4 = 0

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

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

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

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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