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

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


Simplifying
1 + 2tan2x = sec4x + -1tan4x

Reorder the terms:
1 + 2an2tx = -1an4tx + c4esx

Solving
1 + 2an2tx = -1an4tx + c4esx

Solving for variable 'a'.

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

Add 'an4tx' to each side of the equation.
1 + 2an2tx + an4tx = -1an4tx + an4tx + c4esx

Combine like terms: -1an4tx + an4tx = 0
1 + 2an2tx + an4tx = 0 + c4esx
1 + 2an2tx + an4tx = c4esx

Add '-1' to each side of the equation.
1 + 2an2tx + -1 + an4tx = -1 + c4esx

Reorder the terms:
1 + -1 + 2an2tx + an4tx = -1 + c4esx

Combine like terms: 1 + -1 = 0
0 + 2an2tx + an4tx = -1 + c4esx
2an2tx + an4tx = -1 + c4esx

Reorder the terms:
1 + 2an2tx + an4tx + -1c4esx = -1 + c4esx + 1 + -1c4esx

Reorder the terms:
1 + 2an2tx + an4tx + -1c4esx = -1 + 1 + c4esx + -1c4esx

Combine like terms: -1 + 1 = 0
1 + 2an2tx + an4tx + -1c4esx = 0 + c4esx + -1c4esx
1 + 2an2tx + an4tx + -1c4esx = c4esx + -1c4esx

Combine like terms: c4esx + -1c4esx = 0
1 + 2an2tx + an4tx + -1c4esx = 0

The solution to this equation could not be determined.

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