2tan^2x+sec^2x-2=0

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Solution for 2tan^2x+sec^2x-2=0 equation: 


Simplifying
2tan2x + sec2x + -2 = 0

Reorder the terms:
-2 + 2an2tx + c2esx = 0

Solving
-2 + 2an2tx + c2esx = 0

Solving for variable 'a'.

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

Add '2' to each side of the equation.
-2 + 2an2tx + 2 + c2esx = 0 + 2

Reorder the terms:
-2 + 2 + 2an2tx + c2esx = 0 + 2

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

Combine like terms: 0 + 2 = 2
2an2tx + c2esx = 2

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

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

Divide each side by '2n2tx'.
a = n-2t-1x-1 + -0.5c2en-2st-1

Simplifying
a = n-2t-1x-1 + -0.5c2en-2st-1

Reorder the terms:
a = -0.5c2en-2st-1 + n-2t-1x-1

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