sec^4x-tan^4x=sec^2x+tan^2x

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Solution for sec^4x-tan^4x=sec^2x+tan^2x equation: 


Simplifying
sec4x + -1tan4x = sec2x + tan2x

Reorder the terms:
-1an4tx + c4esx = sec2x + tan2x

Reorder the terms:
-1an4tx + c4esx = an2tx + c2esx

Solving
-1an4tx + c4esx = an2tx + c2esx

Solving for variable 'a'.

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

Add '-1an2tx' to each side of the equation.
-1an4tx + -1an2tx + c4esx = an2tx + -1an2tx + c2esx

Reorder the terms:
-1an2tx + -1an4tx + c4esx = an2tx + -1an2tx + c2esx

Combine like terms: an2tx + -1an2tx = 0
-1an2tx + -1an4tx + c4esx = 0 + c2esx
-1an2tx + -1an4tx + c4esx = c2esx

Add '-1c4esx' to each side of the equation.
-1an2tx + -1an4tx + c4esx + -1c4esx = c2esx + -1c4esx

Combine like terms: c4esx + -1c4esx = 0
-1an2tx + -1an4tx + 0 = c2esx + -1c4esx
-1an2tx + -1an4tx = c2esx + -1c4esx

Reorder the terms:
-1an2tx + -1an4tx + -1c2esx + c4esx = c2esx + -1c2esx + -1c4esx + c4esx

Combine like terms: c2esx + -1c2esx = 0
-1an2tx + -1an4tx + -1c2esx + c4esx = 0 + -1c4esx + c4esx
-1an2tx + -1an4tx + -1c2esx + c4esx = -1c4esx + c4esx

Combine like terms: -1c4esx + c4esx = 0
-1an2tx + -1an4tx + -1c2esx + c4esx = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1an2t + -1an4t + -1c2es + c4es) = 0


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

Simplifying
x = 0

Solving
x = 0

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

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

Simplifying
0 = -1x

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 '(-1an2t + -1an4t + -1c2es + c4es)' equal to zero and attempt to solve:

Simplifying
-1an2t + -1an4t + -1c2es + c4es = 0

Solving
-1an2t + -1an4t + -1c2es + c4es = 0

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

Add 'c2es' to each side of the equation.
-1an2t + -1an4t + -1c2es + c2es + c4es = 0 + c2es

Combine like terms: -1c2es + c2es = 0
-1an2t + -1an4t + 0 + c4es = 0 + c2es
-1an2t + -1an4t + c4es = 0 + c2es
Remove the zero:
-1an2t + -1an4t + c4es = c2es

Add '-1c4es' to each side of the equation.
-1an2t + -1an4t + c4es + -1c4es = c2es + -1c4es

Combine like terms: c4es + -1c4es = 0
-1an2t + -1an4t + 0 = c2es + -1c4es
-1an2t + -1an4t = c2es + -1c4es

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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