2sec^2x=3tan^2x+1

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Solution for 2sec^2x=3tan^2x+1 equation: 


Simplifying
2sec2x = 3tan2x + 1

Reorder the terms:
2c2esx = 1 + 3an2tx

Solving
2c2esx = 1 + 3an2tx

Solving for variable 'c'.

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

Divide each side by '2esx'.
c2 = 0.5e-1s-1x-1 + 1.5ae-1n2s-1t

Simplifying
c2 = 0.5e-1s-1x-1 + 1.5ae-1n2s-1t

Reorder the terms:
c2 = 1.5ae-1n2s-1t + 0.5e-1s-1x-1

Reorder the terms:
-1.5ae-1n2s-1t + c2 + -0.5e-1s-1x-1 = 1.5ae-1n2s-1t + 0.5e-1s-1x-1 + -1.5ae-1n2s-1t + -0.5e-1s-1x-1

Reorder the terms:
-1.5ae-1n2s-1t + c2 + -0.5e-1s-1x-1 = 1.5ae-1n2s-1t + -1.5ae-1n2s-1t + 0.5e-1s-1x-1 + -0.5e-1s-1x-1

Combine like terms: 1.5ae-1n2s-1t + -1.5ae-1n2s-1t = 0.0
-1.5ae-1n2s-1t + c2 + -0.5e-1s-1x-1 = 0.0 + 0.5e-1s-1x-1 + -0.5e-1s-1x-1
-1.5ae-1n2s-1t + c2 + -0.5e-1s-1x-1 = 0.5e-1s-1x-1 + -0.5e-1s-1x-1

Combine like terms: 0.5e-1s-1x-1 + -0.5e-1s-1x-1 = 0.0
-1.5ae-1n2s-1t + c2 + -0.5e-1s-1x-1 = 0.0

The solution to this equation could not be determined.

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