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

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


Simplifying
tan4x + -2 = tan2x + sec2x

Reorder the terms:
-2 + an4tx = tan2x + sec2x

Solving
-2 + an4tx = 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.
-2 + -1an2tx + an4tx = an2tx + -1an2tx + c2esx

Combine like terms: an2tx + -1an2tx = 0
-2 + -1an2tx + an4tx = 0 + c2esx
-2 + -1an2tx + an4tx = c2esx

Add '2' to each side of the equation.
-2 + -1an2tx + 2 + an4tx = 2 + c2esx

Reorder the terms:
-2 + 2 + -1an2tx + an4tx = 2 + c2esx

Combine like terms: -2 + 2 = 0
0 + -1an2tx + an4tx = 2 + c2esx
-1an2tx + an4tx = 2 + c2esx

Reorder the terms:
-2 + -1an2tx + an4tx + -1c2esx = 2 + c2esx + -2 + -1c2esx

Reorder the terms:
-2 + -1an2tx + an4tx + -1c2esx = 2 + -2 + c2esx + -1c2esx

Combine like terms: 2 + -2 = 0
-2 + -1an2tx + an4tx + -1c2esx = 0 + c2esx + -1c2esx
-2 + -1an2tx + an4tx + -1c2esx = c2esx + -1c2esx

Combine like terms: c2esx + -1c2esx = 0
-2 + -1an2tx + an4tx + -1c2esx = 0

The solution to this equation could not be determined.

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