Sec^4x-tan^4x=1+2tan^2x

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Solution for Sec^4x-tan^4x=1+2tan^2x equation: 


Simplifying
Sec4x + -1tan4x = 1 + 2tan2x

Reorder the terms:
-1an4tx + c4exS = 1 + 2tan2x

Solving
-1an4tx + c4exS = 1 + 2an2tx

Solving for variable 'a'.

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

Add '-2an2tx' to each side of the equation.
-1an4tx + -2an2tx + c4exS = 1 + 2an2tx + -2an2tx

Reorder the terms:
-2an2tx + -1an4tx + c4exS = 1 + 2an2tx + -2an2tx

Combine like terms: 2an2tx + -2an2tx = 0
-2an2tx + -1an4tx + c4exS = 1 + 0
-2an2tx + -1an4tx + c4exS = 1

Add '-1c4exS' to each side of the equation.
-2an2tx + -1an4tx + c4exS + -1c4exS = 1 + -1c4exS

Combine like terms: c4exS + -1c4exS = 0
-2an2tx + -1an4tx + 0 = 1 + -1c4exS
-2an2tx + -1an4tx = 1 + -1c4exS

Reorder the terms:
-1 + -2an2tx + -1an4tx + c4exS = 1 + -1c4exS + -1 + c4exS

Reorder the terms:
-1 + -2an2tx + -1an4tx + c4exS = 1 + -1 + -1c4exS + c4exS

Combine like terms: 1 + -1 = 0
-1 + -2an2tx + -1an4tx + c4exS = 0 + -1c4exS + c4exS
-1 + -2an2tx + -1an4tx + c4exS = -1c4exS + c4exS

Combine like terms: -1c4exS + c4exS = 0
-1 + -2an2tx + -1an4tx + c4exS = 0

The solution to this equation could not be determined.

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