1+tan^2x=sec^2x+2tanx

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


Simplifying
1 + tan2x = sec2x + 2tanx

Reorder the terms:
1 + an2tx = 2antx + c2esx

Solving
1 + an2tx = 2antx + c2esx

Solving for variable 'a'.

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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