sec^2x=2tanx+4

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Solution for sec^2x=2tanx+4 equation:


Simplifying
sec2x = 2tanx + 4

Reorder the terms:
c2esx = 4 + 2antx

Solving
c2esx = 4 + 2antx

Solving for variable 'c'.

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

Divide each side by 'esx'.
c2 = 4e-1s-1x-1 + 2ae-1ns-1t

Simplifying
c2 = 4e-1s-1x-1 + 2ae-1ns-1t

Reorder the terms:
c2 = 2ae-1ns-1t + 4e-1s-1x-1

Reorder the terms:
-2ae-1ns-1t + c2 + -4e-1s-1x-1 = 2ae-1ns-1t + 4e-1s-1x-1 + -2ae-1ns-1t + -4e-1s-1x-1

Reorder the terms:
-2ae-1ns-1t + c2 + -4e-1s-1x-1 = 2ae-1ns-1t + -2ae-1ns-1t + 4e-1s-1x-1 + -4e-1s-1x-1

Combine like terms: 2ae-1ns-1t + -2ae-1ns-1t = 0
-2ae-1ns-1t + c2 + -4e-1s-1x-1 = 0 + 4e-1s-1x-1 + -4e-1s-1x-1
-2ae-1ns-1t + c2 + -4e-1s-1x-1 = 4e-1s-1x-1 + -4e-1s-1x-1

Combine like terms: 4e-1s-1x-1 + -4e-1s-1x-1 = 0
-2ae-1ns-1t + c2 + -4e-1s-1x-1 = 0

The solution to this equation could not be determined.

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